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Finding the Fourth Proportional to 457,489.40, 686,234.10 and 125,065.40

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Solution

The fourth proportional to 457,489.40, 686,234.10 and 125,065.40 is: 187,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,489.40 : 686,234.10 = 125,065.40 : x
  2. Step 2: Convert to fraction form
    457,489.40/686,234.10 = 125,065.40/x
  3. Step 3: Cross multiply
    457,489.40x = 686,234.10 × 125,065.40
  4. Step 4: Simplify right side
    457,489.40x = 85,824,142,210.14
  5. Step 5: Solve for x
    x = 85,824,142,210.14/457,489.40
  6. Step 6: Final answer
    x = 187,598.10

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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.