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Finding the Fourth Proportional to 457,589.80, 686,514.30 and 142,078.60

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Solution

The fourth proportional to 457,589.80, 686,514.30 and 142,078.60 is: 213,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,589.80 : 686,514.30 = 142,078.60 : x
  2. Step 2: Convert to fraction form
    457,589.80/686,514.30 = 142,078.60/x
  3. Step 3: Cross multiply
    457,589.80x = 686,514.30 × 142,078.60
  4. Step 4: Simplify right side
    457,589.80x = 97,538,990,623.98
  5. Step 5: Solve for x
    x = 97,538,990,623.98/457,589.80
  6. Step 6: Final answer
    x = 213,158.14

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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.