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Finding the Fourth Proportional to 520,102.30, 779,721.45 and 220,812.70

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Solution

The fourth proportional to 520,102.30, 779,721.45 and 220,812.70 is: 331,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,102.30 : 779,721.45 = 220,812.70 : x
  2. Step 2: Convert to fraction form
    520,102.30/779,721.45 = 220,812.70/x
  3. Step 3: Cross multiply
    520,102.30x = 779,721.45 × 220,812.70
  4. Step 4: Simplify right side
    520,102.30x = 172,172,398,622.42
  5. Step 5: Solve for x
    x = 172,172,398,622.42/520,102.30
  6. Step 6: Final answer
    x = 331,035.64

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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.