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Finding the Fourth Proportional to 438,078.66, 657,182.64 and 138,491.22

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Solution

The fourth proportional to 438,078.66, 657,182.64 and 138,491.22 is: 207,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,078.66 : 657,182.64 = 138,491.22 : x
  2. Step 2: Convert to fraction form
    438,078.66/657,182.64 = 138,491.22/x
  3. Step 3: Cross multiply
    438,078.66x = 657,182.64 × 138,491.22
  4. Step 4: Simplify right side
    438,078.66x = 91,014,025,576.42
  5. Step 5: Solve for x
    x = 91,014,025,576.42/438,078.66
  6. Step 6: Final answer
    x = 207,757.27

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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.