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Finding the Fourth Proportional to 648,086.40, 972,129.60 and 410,659.20

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Solution

The fourth proportional to 648,086.40, 972,129.60 and 410,659.20 is: 615,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,086.40 : 972,129.60 = 410,659.20 : x
  2. Step 2: Convert to fraction form
    648,086.40/972,129.60 = 410,659.20/x
  3. Step 3: Cross multiply
    648,086.40x = 972,129.60 × 410,659.20
  4. Step 4: Simplify right side
    648,086.40x = 399,213,963,832.32
  5. Step 5: Solve for x
    x = 399,213,963,832.32/648,086.40
  6. Step 6: Final answer
    x = 615,988.80

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.