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Finding the Fourth Proportional to 458,422.14, 687,637.95 and 138,576.66

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Solution

The fourth proportional to 458,422.14, 687,637.95 and 138,576.66 is: 207,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,422.14 : 687,637.95 = 138,576.66 : x
  2. Step 2: Convert to fraction form
    458,422.14/687,637.95 = 138,576.66/x
  3. Step 3: Cross multiply
    458,422.14x = 687,637.95 × 138,576.66
  4. Step 4: Simplify right side
    458,422.14x = 95,290,570,400.25
  5. Step 5: Solve for x
    x = 95,290,570,400.25/458,422.14
  6. Step 6: Final answer
    x = 207,866.42

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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.