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Finding the Fourth Proportional to 420,712.98, 580,583.88 and 229,726.53

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Solution

The fourth proportional to 420,712.98, 580,583.88 and 229,726.53 is: 317,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,712.98 : 580,583.88 = 229,726.53 : x
  2. Step 2: Convert to fraction form
    420,712.98/580,583.88 = 229,726.53/x
  3. Step 3: Cross multiply
    420,712.98x = 580,583.88 × 229,726.53
  4. Step 4: Simplify right side
    420,712.98x = 133,375,520,126.34
  5. Step 5: Solve for x
    x = 133,375,520,126.34/420,712.98
  6. Step 6: Final answer
    x = 317,022.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.