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Finding the Fourth Proportional to 721,077.49, 995,220.06 and 463,276.71

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Solution

The fourth proportional to 721,077.49, 995,220.06 and 463,276.71 is: 639,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,077.49 : 995,220.06 = 463,276.71 : x
  2. Step 2: Convert to fraction form
    721,077.49/995,220.06 = 463,276.71/x
  3. Step 3: Cross multiply
    721,077.49x = 995,220.06 × 463,276.71
  4. Step 4: Simplify right side
    721,077.49x = 461,062,275,122.80
  5. Step 5: Solve for x
    x = 461,062,275,122.80/721,077.49
  6. Step 6: Final answer
    x = 639,407.39

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.