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Finding the Fourth Proportional to 438,513.76, 657,770.64 and 165,011.39

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Solution

The fourth proportional to 438,513.76, 657,770.64 and 165,011.39 is: 247,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,513.76 : 657,770.64 = 165,011.39 : x
  2. Step 2: Convert to fraction form
    438,513.76/657,770.64 = 165,011.39/x
  3. Step 3: Cross multiply
    438,513.76x = 657,770.64 × 165,011.39
  4. Step 4: Simplify right side
    438,513.76x = 108,539,647,607.59
  5. Step 5: Solve for x
    x = 108,539,647,607.59/438,513.76
  6. Step 6: Final answer
    x = 247,517.09

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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.