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Finding the Fourth Proportional to 298,951.56, 448,217.08 and 138,857.52

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Solution

The fourth proportional to 298,951.56, 448,217.08 and 138,857.52 is: 208,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,951.56 : 448,217.08 = 138,857.52 : x
  2. Step 2: Convert to fraction form
    298,951.56/448,217.08 = 138,857.52/x
  3. Step 3: Cross multiply
    298,951.56x = 448,217.08 × 138,857.52
  4. Step 4: Simplify right side
    298,951.56x = 62,238,309,702.28
  5. Step 5: Solve for x
    x = 62,238,309,702.28/298,951.56
  6. Step 6: Final answer
    x = 208,188.61

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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.