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Finding the Fourth Proportional to 257,850.40, 386,257.20 and 146,912.80

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Solution

The fourth proportional to 257,850.40, 386,257.20 and 146,912.80 is: 220,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,850.40 : 386,257.20 = 146,912.80 : x
  2. Step 2: Convert to fraction form
    257,850.40/386,257.20 = 146,912.80/x
  3. Step 3: Cross multiply
    257,850.40x = 386,257.20 × 146,912.80
  4. Step 4: Simplify right side
    257,850.40x = 56,746,126,772.16
  5. Step 5: Solve for x
    x = 56,746,126,772.16/257,850.40
  6. Step 6: Final answer
    x = 220,073.84

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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.