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Finding the Fourth Proportional to 257,167.40, 385,232.70 and 146,229.80

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Solution

The fourth proportional to 257,167.40, 385,232.70 and 146,229.80 is: 219,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,167.40 : 385,232.70 = 146,229.80 : x
  2. Step 2: Convert to fraction form
    257,167.40/385,232.70 = 146,229.80/x
  3. Step 3: Cross multiply
    257,167.40x = 385,232.70 × 146,229.80
  4. Step 4: Simplify right side
    257,167.40x = 56,332,500,674.46
  5. Step 5: Solve for x
    x = 56,332,500,674.46/257,167.40
  6. Step 6: Final answer
    x = 219,049.93

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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.