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Finding the Fourth Proportional to 657,810.40, 986,715.60 and 478,476.40

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Solution

The fourth proportional to 657,810.40, 986,715.60 and 478,476.40 is: 717,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,810.40 : 986,715.60 = 478,476.40 : x
  2. Step 2: Convert to fraction form
    657,810.40/986,715.60 = 478,476.40/x
  3. Step 3: Cross multiply
    657,810.40x = 986,715.60 × 478,476.40
  4. Step 4: Simplify right side
    657,810.40x = 472,120,128,111.84
  5. Step 5: Solve for x
    x = 472,120,128,111.84/657,810.40
  6. Step 6: Final answer
    x = 717,714.60

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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.