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Finding the Fourth Proportional to 502,965.85, 754,448.78 and 408,487.45

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Solution

The fourth proportional to 502,965.85, 754,448.78 and 408,487.45 is: 612,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,965.85 : 754,448.78 = 408,487.45 : x
  2. Step 2: Convert to fraction form
    502,965.85/754,448.78 = 408,487.45/x
  3. Step 3: Cross multiply
    502,965.85x = 754,448.78 × 408,487.45
  4. Step 4: Simplify right side
    502,965.85x = 308,182,856,255.37
  5. Step 5: Solve for x
    x = 308,182,856,255.37/502,965.85
  6. Step 6: Final answer
    x = 612,731.18

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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.