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Finding the Fourth Proportional to 457,630.65, 686,438.62 and 142,087.86

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Solution

The fourth proportional to 457,630.65, 686,438.62 and 142,087.86 is: 213,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,630.65 : 686,438.62 = 142,087.86 : x
  2. Step 2: Convert to fraction form
    457,630.65/686,438.62 = 142,087.86/x
  3. Step 3: Cross multiply
    457,630.65x = 686,438.62 × 142,087.86
  4. Step 4: Simplify right side
    457,630.65x = 97,534,594,181.93
  5. Step 5: Solve for x
    x = 97,534,594,181.93/457,630.65
  6. Step 6: Final answer
    x = 213,129.51

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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.