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Finding the Fourth Proportional to 713,404.56, 984,498.03 and 391,107.74

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Solution

The fourth proportional to 713,404.56, 984,498.03 and 391,107.74 is: 539,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,404.56 : 984,498.03 = 391,107.74 : x
  2. Step 2: Convert to fraction form
    713,404.56/984,498.03 = 391,107.74/x
  3. Step 3: Cross multiply
    713,404.56x = 984,498.03 × 391,107.74
  4. Step 4: Simplify right side
    713,404.56x = 385,044,799,547.75
  5. Step 5: Solve for x
    x = 385,044,799,547.75/713,404.56
  6. Step 6: Final answer
    x = 539,728.54

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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.