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Finding the Fourth Proportional to 257,967.87, 386,406.68 and 163,149.27

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Solution

The fourth proportional to 257,967.87, 386,406.68 and 163,149.27 is: 244,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,967.87 : 386,406.68 = 163,149.27 : x
  2. Step 2: Convert to fraction form
    257,967.87/386,406.68 = 163,149.27/x
  3. Step 3: Cross multiply
    257,967.87x = 386,406.68 × 163,149.27
  4. Step 4: Simplify right side
    257,967.87x = 63,041,966,949.38
  5. Step 5: Solve for x
    x = 63,041,966,949.38/257,967.87
  6. Step 6: Final answer
    x = 244,379.14

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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.