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Finding the Fourth Proportional to 398,782.25, 598,170.31 and 99,260.84

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Solution

The fourth proportional to 398,782.25, 598,170.31 and 99,260.84 is: 148,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,782.25 : 598,170.31 = 99,260.84 : x
  2. Step 2: Convert to fraction form
    398,782.25/598,170.31 = 99,260.84/x
  3. Step 3: Cross multiply
    398,782.25x = 598,170.31 × 99,260.84
  4. Step 4: Simplify right side
    398,782.25x = 59,374,884,194.66
  5. Step 5: Solve for x
    x = 59,374,884,194.66/398,782.25
  6. Step 6: Final answer
    x = 148,890.49

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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.