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Finding the Fourth Proportional to 398,268, 597,402 and 135,612

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Solution

The fourth proportional to 398,268, 597,402 and 135,612 is: 203,418

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,268 : 597,402 = 135,612 : x
  2. Step 2: Convert to fraction form
    398,268/597,402 = 135,612/x
  3. Step 3: Cross multiply
    398,268x = 597,402 × 135,612
  4. Step 4: Simplify right side
    398,268x = 81,014,880,024
  5. Step 5: Solve for x
    x = 81,014,880,024/398,268
  6. Step 6: Final answer
    x = 203,418

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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.