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Finding the Fourth Proportional to 442,524, 610,729.20 and 272,753.76

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Solution

The fourth proportional to 442,524, 610,729.20 and 272,753.76 is: 376,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,524 : 610,729.20 = 272,753.76 : x
  2. Step 2: Convert to fraction form
    442,524/610,729.20 = 272,753.76/x
  3. Step 3: Cross multiply
    442,524x = 610,729.20 × 272,753.76
  4. Step 4: Simplify right side
    442,524x = 166,578,685,641.79
  5. Step 5: Solve for x
    x = 166,578,685,641.79/442,524
  6. Step 6: Final answer
    x = 376,428.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.