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Finding the Fourth Proportional to 545,116.74, 817,842.24 and 279,065.76

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Solution

The fourth proportional to 545,116.74, 817,842.24 and 279,065.76 is: 418,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,116.74 : 817,842.24 = 279,065.76 : x
  2. Step 2: Convert to fraction form
    545,116.74/817,842.24 = 279,065.76/x
  3. Step 3: Cross multiply
    545,116.74x = 817,842.24 × 279,065.76
  4. Step 4: Simplify right side
    545,116.74x = 228,231,766,265.70
  5. Step 5: Solve for x
    x = 228,231,766,265.70/545,116.74
  6. Step 6: Final answer
    x = 418,684.20

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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.