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Finding the Fourth Proportional to 398,604.61, 597,591.17 and 198,822.16

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Solution

The fourth proportional to 398,604.61, 597,591.17 and 198,822.16 is: 298,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604.61 : 597,591.17 = 198,822.16 : x
  2. Step 2: Convert to fraction form
    398,604.61/597,591.17 = 198,822.16/x
  3. Step 3: Cross multiply
    398,604.61x = 597,591.17 × 198,822.16
  4. Step 4: Simplify right side
    398,604.61x = 118,814,367,714.79
  5. Step 5: Solve for x
    x = 118,814,367,714.79/398,604.61
  6. Step 6: Final answer
    x = 298,075.75

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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.