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Finding the Fourth Proportional to 438,514.92, 657,772.33 and 165,012.55

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Solution

The fourth proportional to 438,514.92, 657,772.33 and 165,012.55 is: 247,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,514.92 : 657,772.33 = 165,012.55 : x
  2. Step 2: Convert to fraction form
    438,514.92/657,772.33 = 165,012.55/x
  3. Step 3: Cross multiply
    438,514.92x = 657,772.33 × 165,012.55
  4. Step 4: Simplify right side
    438,514.92x = 108,540,689,492.74
  5. Step 5: Solve for x
    x = 108,540,689,492.74/438,514.92
  6. Step 6: Final answer
    x = 247,518.81

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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.