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Finding the Fourth Proportional to 386,706.56, 580,036.44 and 229,932.68

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Solution

The fourth proportional to 386,706.56, 580,036.44 and 229,932.68 is: 344,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,706.56 : 580,036.44 = 229,932.68 : x
  2. Step 2: Convert to fraction form
    386,706.56/580,036.44 = 229,932.68/x
  3. Step 3: Cross multiply
    386,706.56x = 580,036.44 × 229,932.68
  4. Step 4: Simplify right side
    386,706.56x = 133,369,333,146.86
  5. Step 5: Solve for x
    x = 133,369,333,146.86/386,706.56
  6. Step 6: Final answer
    x = 344,885.11

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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.