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Finding the Fourth Proportional to 509,279.08, 763,899.18 and 172,345

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Solution

The fourth proportional to 509,279.08, 763,899.18 and 172,345 is: 258,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,279.08 : 763,899.18 = 172,345 : x
  2. Step 2: Convert to fraction form
    509,279.08/763,899.18 = 172,345/x
  3. Step 3: Cross multiply
    509,279.08x = 763,899.18 × 172,345
  4. Step 4: Simplify right side
    509,279.08x = 131,654,204,177.10
  5. Step 5: Solve for x
    x = 131,654,204,177.10/509,279.08
  6. Step 6: Final answer
    x = 258,510.92

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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.