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Finding the Fourth Proportional to 438,266.22, 657,497.85 and 138,764.70

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Solution

The fourth proportional to 438,266.22, 657,497.85 and 138,764.70 is: 208,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,266.22 : 657,497.85 = 138,764.70 : x
  2. Step 2: Convert to fraction form
    438,266.22/657,497.85 = 138,764.70/x
  3. Step 3: Cross multiply
    438,266.22x = 657,497.85 × 138,764.70
  4. Step 4: Simplify right side
    438,266.22x = 91,237,491,905.90
  5. Step 5: Solve for x
    x = 91,237,491,905.90/438,266.22
  6. Step 6: Final answer
    x = 208,178.24

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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.