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Finding the Fourth Proportional to 397,408.60, 596,112.90 and 361,250.20

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Solution

The fourth proportional to 397,408.60, 596,112.90 and 361,250.20 is: 541,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,408.60 : 596,112.90 = 361,250.20 : x
  2. Step 2: Convert to fraction form
    397,408.60/596,112.90 = 361,250.20/x
  3. Step 3: Cross multiply
    397,408.60x = 596,112.90 × 361,250.20
  4. Step 4: Simplify right side
    397,408.60x = 215,345,904,347.58
  5. Step 5: Solve for x
    x = 215,345,904,347.58/397,408.60
  6. Step 6: Final answer
    x = 541,875.30

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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.