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Finding the Fourth Proportional to 398,770.96, 598,156.38 and 118,285.78

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Solution

The fourth proportional to 398,770.96, 598,156.38 and 118,285.78 is: 177,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,770.96 : 598,156.38 = 118,285.78 : x
  2. Step 2: Convert to fraction form
    398,770.96/598,156.38 = 118,285.78/x
  3. Step 3: Cross multiply
    398,770.96x = 598,156.38 × 118,285.78
  4. Step 4: Simplify right side
    398,770.96x = 70,753,393,970.28
  5. Step 5: Solve for x
    x = 70,753,393,970.28/398,770.96
  6. Step 6: Final answer
    x = 177,428.65

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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.