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Finding the Fourth Proportional to 257,991.32, 386,528.68 and 220,167.56

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Solution

The fourth proportional to 257,991.32, 386,528.68 and 220,167.56 is: 329,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,991.32 : 386,528.68 = 220,167.56 : x
  2. Step 2: Convert to fraction form
    257,991.32/386,528.68 = 220,167.56/x
  3. Step 3: Cross multiply
    257,991.32x = 386,528.68 × 220,167.56
  4. Step 4: Simplify right side
    257,991.32x = 85,101,076,345.62
  5. Step 5: Solve for x
    x = 85,101,076,345.62/257,991.32
  6. Step 6: Final answer
    x = 329,860.23

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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.