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Finding the Fourth Proportional to 457,643.20, 686,529.60 and 142,067.20

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Solution

The fourth proportional to 457,643.20, 686,529.60 and 142,067.20 is: 213,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,643.20 : 686,529.60 = 142,067.20 : x
  2. Step 2: Convert to fraction form
    457,643.20/686,529.60 = 142,067.20/x
  3. Step 3: Cross multiply
    457,643.20x = 686,529.60 × 142,067.20
  4. Step 4: Simplify right side
    457,643.20x = 97,533,337,989.12
  5. Step 5: Solve for x
    x = 97,533,337,989.12/457,643.20
  6. Step 6: Final answer
    x = 213,120.92

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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.