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Finding the Fourth Proportional to 521,106.30, 781,695.90 and 205,522.20

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Solution

The fourth proportional to 521,106.30, 781,695.90 and 205,522.20 is: 308,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,106.30 : 781,695.90 = 205,522.20 : x
  2. Step 2: Convert to fraction form
    521,106.30/781,695.90 = 205,522.20/x
  3. Step 3: Cross multiply
    521,106.30x = 781,695.90 × 205,522.20
  4. Step 4: Simplify right side
    521,106.30x = 160,655,861,098.98
  5. Step 5: Solve for x
    x = 160,655,861,098.98/521,106.30
  6. Step 6: Final answer
    x = 308,297.68

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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.