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Finding the Fourth Proportional to 713,404.74, 984,498.30 and 391,107.93

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Solution

The fourth proportional to 713,404.74, 984,498.30 and 391,107.93 is: 539,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,404.74 : 984,498.30 = 391,107.93 : x
  2. Step 2: Convert to fraction form
    713,404.74/984,498.30 = 391,107.93/x
  3. Step 3: Cross multiply
    713,404.74x = 984,498.30 × 391,107.93
  4. Step 4: Simplify right side
    713,404.74x = 385,045,092,201.52
  5. Step 5: Solve for x
    x = 385,045,092,201.52/713,404.74
  6. Step 6: Final answer
    x = 539,728.81

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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.