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Finding the Fourth Proportional to 520,851.30, 781,320.15 and 165,855.30

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Solution

The fourth proportional to 520,851.30, 781,320.15 and 165,855.30 is: 248,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,851.30 : 781,320.15 = 165,855.30 : x
  2. Step 2: Convert to fraction form
    520,851.30/781,320.15 = 165,855.30/x
  3. Step 3: Cross multiply
    520,851.30x = 781,320.15 × 165,855.30
  4. Step 4: Simplify right side
    520,851.30x = 129,586,087,874.30
  5. Step 5: Solve for x
    x = 129,586,087,874.30/520,851.30
  6. Step 6: Final answer
    x = 248,796.71

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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.