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Finding the Fourth Proportional to 398,780, 598,169.84 and 118,294.80

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Solution

The fourth proportional to 398,780, 598,169.84 and 118,294.80 is: 177,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,780 : 598,169.84 = 118,294.80 : x
  2. Step 2: Convert to fraction form
    398,780/598,169.84 = 118,294.80/x
  3. Step 3: Cross multiply
    398,780x = 598,169.84 × 118,294.80
  4. Step 4: Simplify right side
    398,780x = 70,760,381,588.83
  5. Step 5: Solve for x
    x = 70,760,381,588.83/398,780
  6. Step 6: Final answer
    x = 177,442.15

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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.