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Finding the Fourth Proportional to 509,126.34, 763,691.67 and 172,168.77

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Solution

The fourth proportional to 509,126.34, 763,691.67 and 172,168.77 is: 258,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,126.34 : 763,691.67 = 172,168.77 : x
  2. Step 2: Convert to fraction form
    509,126.34/763,691.67 = 172,168.77/x
  3. Step 3: Cross multiply
    509,126.34x = 763,691.67 × 172,168.77
  4. Step 4: Simplify right side
    509,126.34x = 131,483,855,483.15
  5. Step 5: Solve for x
    x = 131,483,855,483.15/509,126.34
  6. Step 6: Final answer
    x = 258,253.89

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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.