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Finding the Fourth Proportional to 509,127.34, 763,693.17 and 172,169.77

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Solution

The fourth proportional to 509,127.34, 763,693.17 and 172,169.77 is: 258,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,127.34 : 763,693.17 = 172,169.77 : x
  2. Step 2: Convert to fraction form
    509,127.34/763,693.17 = 172,169.77/x
  3. Step 3: Cross multiply
    509,127.34x = 763,693.17 × 172,169.77
  4. Step 4: Simplify right side
    509,127.34x = 131,484,877,429.47
  5. Step 5: Solve for x
    x = 131,484,877,429.47/509,127.34
  6. Step 6: Final answer
    x = 258,255.39

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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.