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Finding the Fourth Proportional to 502,827.32, 753,908.04 and 199,020.20

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Solution

The fourth proportional to 502,827.32, 753,908.04 and 199,020.20 is: 298,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,827.32 : 753,908.04 = 199,020.20 : x
  2. Step 2: Convert to fraction form
    502,827.32/753,908.04 = 199,020.20/x
  3. Step 3: Cross multiply
    502,827.32x = 753,908.04 × 199,020.20
  4. Step 4: Simplify right side
    502,827.32x = 150,042,928,902.41
  5. Step 5: Solve for x
    x = 150,042,928,902.41/502,827.32
  6. Step 6: Final answer
    x = 298,398.52

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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.