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Finding the Fourth Proportional to 398,647.68, 597,657.58 and 198,865.24

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Solution

The fourth proportional to 398,647.68, 597,657.58 and 198,865.24 is: 298,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,647.68 : 597,657.58 = 198,865.24 : x
  2. Step 2: Convert to fraction form
    398,647.68/597,657.58 = 198,865.24/x
  3. Step 3: Cross multiply
    398,647.68x = 597,657.58 × 198,865.24
  4. Step 4: Simplify right side
    398,647.68x = 118,853,318,084.52
  5. Step 5: Solve for x
    x = 118,853,318,084.52/398,647.68
  6. Step 6: Final answer
    x = 298,141.25

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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.