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Finding the Fourth Proportional to 257,952.28, 386,578.44 and 145,576.92

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Solution

The fourth proportional to 257,952.28, 386,578.44 and 145,576.92 is: 218,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,952.28 : 386,578.44 = 145,576.92 : x
  2. Step 2: Convert to fraction form
    257,952.28/386,578.44 = 145,576.92/x
  3. Step 3: Cross multiply
    257,952.28x = 386,578.44 × 145,576.92
  4. Step 4: Simplify right side
    257,952.28x = 56,276,898,633.60
  5. Step 5: Solve for x
    x = 56,276,898,633.60/257,952.28
  6. Step 6: Final answer
    x = 218,167.87

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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.