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Finding the Fourth Proportional to 253,216.56, 349,424.64 and 138,472.38

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Solution

The fourth proportional to 253,216.56, 349,424.64 and 138,472.38 is: 191,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,216.56 : 349,424.64 = 138,472.38 : x
  2. Step 2: Convert to fraction form
    253,216.56/349,424.64 = 138,472.38/x
  3. Step 3: Cross multiply
    253,216.56x = 349,424.64 × 138,472.38
  4. Step 4: Simplify right side
    253,216.56x = 48,385,661,531.44
  5. Step 5: Solve for x
    x = 48,385,661,531.44/253,216.56
  6. Step 6: Final answer
    x = 191,084.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.