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Finding the Fourth Proportional to 257,689.61, 386,570.88 and 80,214.56

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Solution

The fourth proportional to 257,689.61, 386,570.88 and 80,214.56 is: 120,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,689.61 : 386,570.88 = 80,214.56 : x
  2. Step 2: Convert to fraction form
    257,689.61/386,570.88 = 80,214.56/x
  3. Step 3: Cross multiply
    257,689.61x = 386,570.88 × 80,214.56
  4. Step 4: Simplify right side
    257,689.61x = 31,008,613,048.01
  5. Step 5: Solve for x
    x = 31,008,613,048.01/257,689.61
  6. Step 6: Final answer
    x = 120,333.19

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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.