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Finding the Fourth Proportional to 539,084.46, 807,970.74 and 381,358.38

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Solution

The fourth proportional to 539,084.46, 807,970.74 and 381,358.38 is: 571,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,084.46 : 807,970.74 = 381,358.38 : x
  2. Step 2: Convert to fraction form
    539,084.46/807,970.74 = 381,358.38/x
  3. Step 3: Cross multiply
    539,084.46x = 807,970.74 × 381,358.38
  4. Step 4: Simplify right side
    539,084.46x = 308,126,412,493.80
  5. Step 5: Solve for x
    x = 308,126,412,493.80/539,084.46
  6. Step 6: Final answer
    x = 571,573.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.