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Finding the Fourth Proportional to 713,517.75, 984,564.27 and 391,143.02

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Solution

The fourth proportional to 713,517.75, 984,564.27 and 391,143.02 is: 539,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,517.75 : 984,564.27 = 391,143.02 : x
  2. Step 2: Convert to fraction form
    713,517.75/984,564.27 = 391,143.02/x
  3. Step 3: Cross multiply
    713,517.75x = 984,564.27 × 391,143.02
  4. Step 4: Simplify right side
    713,517.75x = 385,105,437,029.07
  5. Step 5: Solve for x
    x = 385,105,437,029.07/713,517.75
  6. Step 6: Final answer
    x = 539,727.90

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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.