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Finding the Fourth Proportional to 398,608.20, 597,782.70 and 132,323.40

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Solution

The fourth proportional to 398,608.20, 597,782.70 and 132,323.40 is: 198,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,608.20 : 597,782.70 = 132,323.40 : x
  2. Step 2: Convert to fraction form
    398,608.20/597,782.70 = 132,323.40/x
  3. Step 3: Cross multiply
    398,608.20x = 597,782.70 × 132,323.40
  4. Step 4: Simplify right side
    398,608.20x = 79,100,639,325.18
  5. Step 5: Solve for x
    x = 79,100,639,325.18/398,608.20
  6. Step 6: Final answer
    x = 198,442.08

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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.