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Finding the Fourth Proportional to 520,847.32, 781,309.86 and 221,294.20

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Solution

The fourth proportional to 520,847.32, 781,309.86 and 221,294.20 is: 331,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,847.32 : 781,309.86 = 221,294.20 : x
  2. Step 2: Convert to fraction form
    520,847.32/781,309.86 = 221,294.20/x
  3. Step 3: Cross multiply
    520,847.32x = 781,309.86 × 221,294.20
  4. Step 4: Simplify right side
    520,847.32x = 172,899,340,420.81
  5. Step 5: Solve for x
    x = 172,899,340,420.81/520,847.32
  6. Step 6: Final answer
    x = 331,957.82

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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.