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Finding the Fourth Proportional to 502,772.72, 693,828.96 and 276,432.80

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Solution

The fourth proportional to 502,772.72, 693,828.96 and 276,432.80 is: 381,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,772.72 : 693,828.96 = 276,432.80 : x
  2. Step 2: Convert to fraction form
    502,772.72/693,828.96 = 276,432.80/x
  3. Step 3: Cross multiply
    502,772.72x = 693,828.96 × 276,432.80
  4. Step 4: Simplify right side
    502,772.72x = 191,797,082,133.89
  5. Step 5: Solve for x
    x = 191,797,082,133.89/502,772.72
  6. Step 6: Final answer
    x = 381,478.70

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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.