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Finding the Fourth Proportional to 524,788.20, 787,207.14 and 169,830

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Solution

The fourth proportional to 524,788.20, 787,207.14 and 169,830 is: 254,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,788.20 : 787,207.14 = 169,830 : x
  2. Step 2: Convert to fraction form
    524,788.20/787,207.14 = 169,830/x
  3. Step 3: Cross multiply
    524,788.20x = 787,207.14 × 169,830
  4. Step 4: Simplify right side
    524,788.20x = 133,691,388,586.20
  5. Step 5: Solve for x
    x = 133,691,388,586.20/524,788.20
  6. Step 6: Final answer
    x = 254,753.04

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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.