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Finding the Fourth Proportional to 457,661.40, 686,543.30 and 142,115.80

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Solution

The fourth proportional to 457,661.40, 686,543.30 and 142,115.80 is: 213,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,661.40 : 686,543.30 = 142,115.80 : x
  2. Step 2: Convert to fraction form
    457,661.40/686,543.30 = 142,115.80/x
  3. Step 3: Cross multiply
    457,661.40x = 686,543.30 × 142,115.80
  4. Step 4: Simplify right side
    457,661.40x = 97,568,650,314.14
  5. Step 5: Solve for x
    x = 97,568,650,314.14/457,661.40
  6. Step 6: Final answer
    x = 213,189.60

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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.