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Finding the Fourth Proportional to 398,612.90, 597,253.80 and 280,072.10

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Solution

The fourth proportional to 398,612.90, 597,253.80 and 280,072.10 is: 419,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,612.90 : 597,253.80 = 280,072.10 : x
  2. Step 2: Convert to fraction form
    398,612.90/597,253.80 = 280,072.10/x
  3. Step 3: Cross multiply
    398,612.90x = 597,253.80 × 280,072.10
  4. Step 4: Simplify right side
    398,612.90x = 167,274,125,998.98
  5. Step 5: Solve for x
    x = 167,274,125,998.98/398,612.90
  6. Step 6: Final answer
    x = 419,640.52

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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.