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Finding the Fourth Proportional to 261,947.40, 392,978.70 and 84,424.20

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Solution

The fourth proportional to 261,947.40, 392,978.70 and 84,424.20 is: 126,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,947.40 : 392,978.70 = 84,424.20 : x
  2. Step 2: Convert to fraction form
    261,947.40/392,978.70 = 84,424.20/x
  3. Step 3: Cross multiply
    261,947.40x = 392,978.70 × 84,424.20
  4. Step 4: Simplify right side
    261,947.40x = 33,176,912,364.54
  5. Step 5: Solve for x
    x = 33,176,912,364.54/261,947.40
  6. Step 6: Final answer
    x = 126,654.86

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1.5x scale

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.