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Finding the Fourth Proportional to 398,854.48, 598,106.48 and 149,361.52

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Solution

The fourth proportional to 398,854.48, 598,106.48 and 149,361.52 is: 223,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,854.48 : 598,106.48 = 149,361.52 : x
  2. Step 2: Convert to fraction form
    398,854.48/598,106.48 = 149,361.52/x
  3. Step 3: Cross multiply
    398,854.48x = 598,106.48 × 149,361.52
  4. Step 4: Simplify right side
    398,854.48x = 89,334,092,974.65
  5. Step 5: Solve for x
    x = 89,334,092,974.65/398,854.48
  6. Step 6: Final answer
    x = 223,976.66

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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.