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Finding the Fourth Proportional to 713,402.56, 984,495.27 and 391,105.74

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Solution

The fourth proportional to 713,402.56, 984,495.27 and 391,105.74 is: 539,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,402.56 : 984,495.27 = 391,105.74 : x
  2. Step 2: Convert to fraction form
    713,402.56/984,495.27 = 391,105.74/x
  3. Step 3: Cross multiply
    713,402.56x = 984,495.27 × 391,105.74
  4. Step 4: Simplify right side
    713,402.56x = 385,041,751,099.85
  5. Step 5: Solve for x
    x = 385,041,751,099.85/713,402.56
  6. Step 6: Final answer
    x = 539,725.78

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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.