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Finding the Fourth Proportional to 520,811.68, 781,333.80 and 221,301.76

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Solution

The fourth proportional to 520,811.68, 781,333.80 and 221,301.76 is: 332,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,811.68 : 781,333.80 = 221,301.76 : x
  2. Step 2: Convert to fraction form
    520,811.68/781,333.80 = 221,301.76/x
  3. Step 3: Cross multiply
    520,811.68x = 781,333.80 × 221,301.76
  4. Step 4: Simplify right side
    520,811.68x = 172,910,545,087.49
  5. Step 5: Solve for x
    x = 172,910,545,087.49/520,811.68
  6. Step 6: Final answer
    x = 332,002.05

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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.