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Finding the Fourth Proportional to 438,067.70, 657,123.15 and 228,115.70

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Solution

The fourth proportional to 438,067.70, 657,123.15 and 228,115.70 is: 342,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,067.70 : 657,123.15 = 228,115.70 : x
  2. Step 2: Convert to fraction form
    438,067.70/657,123.15 = 228,115.70/x
  3. Step 3: Cross multiply
    438,067.70x = 657,123.15 × 228,115.70
  4. Step 4: Simplify right side
    438,067.70x = 149,900,107,348.46
  5. Step 5: Solve for x
    x = 149,900,107,348.46/438,067.70
  6. Step 6: Final answer
    x = 342,184.80

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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.