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Finding the Fourth Proportional to 317,009.14, 475,508.91 and 77,125.30

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Solution

The fourth proportional to 317,009.14, 475,508.91 and 77,125.30 is: 115,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,009.14 : 475,508.91 = 77,125.30 : x
  2. Step 2: Convert to fraction form
    317,009.14/475,508.91 = 77,125.30/x
  3. Step 3: Cross multiply
    317,009.14x = 475,508.91 × 77,125.30
  4. Step 4: Simplify right side
    317,009.14x = 36,673,767,336.42
  5. Step 5: Solve for x
    x = 36,673,767,336.42/317,009.14
  6. Step 6: Final answer
    x = 115,686.78

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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.