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Finding the Fourth Proportional to 713,713.41, 984,937.14 and 391,420.71

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Solution

The fourth proportional to 713,713.41, 984,937.14 and 391,420.71 is: 540,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,713.41 : 984,937.14 = 391,420.71 : x
  2. Step 2: Convert to fraction form
    713,713.41/984,937.14 = 391,420.71/x
  3. Step 3: Cross multiply
    713,713.41x = 984,937.14 × 391,420.71
  4. Step 4: Simplify right side
    713,713.41x = 385,524,794,644.17
  5. Step 5: Solve for x
    x = 385,524,794,644.17/713,713.41
  6. Step 6: Final answer
    x = 540,167.51

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1.5x scale

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.