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Finding the Fourth Proportional to 457,886.40, 686,829.60 and 125,462.40

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Solution

The fourth proportional to 457,886.40, 686,829.60 and 125,462.40 is: 188,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,886.40 : 686,829.60 = 125,462.40 : x
  2. Step 2: Convert to fraction form
    457,886.40/686,829.60 = 125,462.40/x
  3. Step 3: Cross multiply
    457,886.40x = 686,829.60 × 125,462.40
  4. Step 4: Simplify right side
    457,886.40x = 86,171,290,007.04
  5. Step 5: Solve for x
    x = 86,171,290,007.04/457,886.40
  6. Step 6: Final answer
    x = 188,193.60

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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.