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Finding the Fourth Proportional to 438,512.76, 657,769.14 and 165,010.39

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Solution

The fourth proportional to 438,512.76, 657,769.14 and 165,010.39 is: 247,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,512.76 : 657,769.14 = 165,010.39 : x
  2. Step 2: Convert to fraction form
    438,512.76/657,769.14 = 165,010.39/x
  3. Step 3: Cross multiply
    438,512.76x = 657,769.14 × 165,010.39
  4. Step 4: Simplify right side
    438,512.76x = 108,538,740,676.94
  5. Step 5: Solve for x
    x = 108,538,740,676.94/438,512.76
  6. Step 6: Final answer
    x = 247,515.58

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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.