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Finding the Fourth Proportional to 457,841.60, 686,866.80 and 142,330.40

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Solution

The fourth proportional to 457,841.60, 686,866.80 and 142,330.40 is: 213,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,841.60 : 686,866.80 = 142,330.40 : x
  2. Step 2: Convert to fraction form
    457,841.60/686,866.80 = 142,330.40/x
  3. Step 3: Cross multiply
    457,841.60x = 686,866.80 × 142,330.40
  4. Step 4: Simplify right side
    457,841.60x = 97,762,026,390.72
  5. Step 5: Solve for x
    x = 97,762,026,390.72/457,841.60
  6. Step 6: Final answer
    x = 213,528.06

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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.