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Finding the Fourth Proportional to 442,227, 663,347.70 and 126,682.68

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Solution

The fourth proportional to 442,227, 663,347.70 and 126,682.68 is: 190,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,227 : 663,347.70 = 126,682.68 : x
  2. Step 2: Convert to fraction form
    442,227/663,347.70 = 126,682.68/x
  3. Step 3: Cross multiply
    442,227x = 663,347.70 × 126,682.68
  4. Step 4: Simplify right side
    442,227x = 84,034,664,407.84
  5. Step 5: Solve for x
    x = 84,034,664,407.84/442,227
  6. Step 6: Final answer
    x = 190,026.08

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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.