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Finding the Fourth Proportional to 257,355.40, 386,035.98 and 107,618.44

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Solution

The fourth proportional to 257,355.40, 386,035.98 and 107,618.44 is: 161,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,355.40 : 386,035.98 = 107,618.44 : x
  2. Step 2: Convert to fraction form
    257,355.40/386,035.98 = 107,618.44/x
  3. Step 3: Cross multiply
    257,355.40x = 386,035.98 × 107,618.44
  4. Step 4: Simplify right side
    257,355.40x = 41,544,589,951.47
  5. Step 5: Solve for x
    x = 41,544,589,951.47/257,355.40
  6. Step 6: Final answer
    x = 161,428.86

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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.