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Finding the Fourth Proportional to 491,923.32, 679,024.05 and 288,039.78

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Solution

The fourth proportional to 491,923.32, 679,024.05 and 288,039.78 is: 397,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,923.32 : 679,024.05 = 288,039.78 : x
  2. Step 2: Convert to fraction form
    491,923.32/679,024.05 = 288,039.78/x
  3. Step 3: Cross multiply
    491,923.32x = 679,024.05 × 288,039.78
  4. Step 4: Simplify right side
    491,923.32x = 195,585,936,896.56
  5. Step 5: Solve for x
    x = 195,585,936,896.56/491,923.32
  6. Step 6: Final answer
    x = 397,594.36

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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.