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Finding the Fourth Proportional to 509,424.76, 763,936.98 and 172,372.60

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Solution

The fourth proportional to 509,424.76, 763,936.98 and 172,372.60 is: 258,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,424.76 : 763,936.98 = 172,372.60 : x
  2. Step 2: Convert to fraction form
    509,424.76/763,936.98 = 172,372.60/x
  3. Step 3: Cross multiply
    509,424.76x = 763,936.98 × 172,372.60
  4. Step 4: Simplify right side
    509,424.76x = 131,681,803,478.75
  5. Step 5: Solve for x
    x = 131,681,803,478.75/509,424.76
  6. Step 6: Final answer
    x = 258,491.17

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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.