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Finding the Fourth Proportional to 388,141.17, 582,211.71 and 107,658.42

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Solution

The fourth proportional to 388,141.17, 582,211.71 and 107,658.42 is: 161,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,141.17 : 582,211.71 = 107,658.42 : x
  2. Step 2: Convert to fraction form
    388,141.17/582,211.71 = 107,658.42/x
  3. Step 3: Cross multiply
    388,141.17x = 582,211.71 × 107,658.42
  4. Step 4: Simplify right side
    388,141.17x = 62,679,992,804.10
  5. Step 5: Solve for x
    x = 62,679,992,804.10/388,141.17
  6. Step 6: Final answer
    x = 161,487.62

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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.