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Finding the Fourth Proportional to 506,197.44, 698,524.56 and 279,828

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Solution

The fourth proportional to 506,197.44, 698,524.56 and 279,828 is: 386,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,197.44 : 698,524.56 = 279,828 : x
  2. Step 2: Convert to fraction form
    506,197.44/698,524.56 = 279,828/x
  3. Step 3: Cross multiply
    506,197.44x = 698,524.56 × 279,828
  4. Step 4: Simplify right side
    506,197.44x = 195,466,730,575.68
  5. Step 5: Solve for x
    x = 195,466,730,575.68/506,197.44
  6. Step 6: Final answer
    x = 386,147.21

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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.