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Finding the Fourth Proportional to 398,122.60, 596,309.10 and 345,634.60

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Solution

The fourth proportional to 398,122.60, 596,309.10 and 345,634.60 is: 517,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,122.60 : 596,309.10 = 345,634.60 : x
  2. Step 2: Convert to fraction form
    398,122.60/596,309.10 = 345,634.60/x
  3. Step 3: Cross multiply
    398,122.60x = 596,309.10 × 345,634.60
  4. Step 4: Simplify right side
    398,122.60x = 206,105,057,254.86
  5. Step 5: Solve for x
    x = 206,105,057,254.86/398,122.60
  6. Step 6: Final answer
    x = 517,692.43

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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.