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Finding the Fourth Proportional to 785,403.92, 1,177,755.96 and 286,418

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Solution

The fourth proportional to 785,403.92, 1,177,755.96 and 286,418 is: 429,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,403.92 : 1,177,755.96 = 286,418 : x
  2. Step 2: Convert to fraction form
    785,403.92/1,177,755.96 = 286,418/x
  3. Step 3: Cross multiply
    785,403.92x = 1,177,755.96 × 286,418
  4. Step 4: Simplify right side
    785,403.92x = 337,330,506,551.28
  5. Step 5: Solve for x
    x = 337,330,506,551.28/785,403.92
  6. Step 6: Final answer
    x = 429,499.39

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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.