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Finding the Fourth Proportional to 498,432.78, 747,182.61 and 276,350.22

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Solution

The fourth proportional to 498,432.78, 747,182.61 and 276,350.22 is: 414,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,432.78 : 747,182.61 = 276,350.22 : x
  2. Step 2: Convert to fraction form
    498,432.78/747,182.61 = 276,350.22/x
  3. Step 3: Cross multiply
    498,432.78x = 747,182.61 × 276,350.22
  4. Step 4: Simplify right side
    498,432.78x = 206,484,078,653.67
  5. Step 5: Solve for x
    x = 206,484,078,653.67/498,432.78
  6. Step 6: Final answer
    x = 414,266.65

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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.