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Finding the Fourth Proportional to 657,708.40, 986,562.60 and 429,385.60

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Solution

The fourth proportional to 657,708.40, 986,562.60 and 429,385.60 is: 644,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,708.40 : 986,562.60 = 429,385.60 : x
  2. Step 2: Convert to fraction form
    657,708.40/986,562.60 = 429,385.60/x
  3. Step 3: Cross multiply
    657,708.40x = 986,562.60 × 429,385.60
  4. Step 4: Simplify right side
    657,708.40x = 423,615,773,938.56
  5. Step 5: Solve for x
    x = 423,615,773,938.56/657,708.40
  6. Step 6: Final answer
    x = 644,078.40

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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.