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Finding the Fourth Proportional to 378,043.20, 566,408.70 and 318,994.20

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Solution

The fourth proportional to 378,043.20, 566,408.70 and 318,994.20 is: 477,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,043.20 : 566,408.70 = 318,994.20 : x
  2. Step 2: Convert to fraction form
    378,043.20/566,408.70 = 318,994.20/x
  3. Step 3: Cross multiply
    378,043.20x = 566,408.70 × 318,994.20
  4. Step 4: Simplify right side
    378,043.20x = 180,681,090,129.54
  5. Step 5: Solve for x
    x = 180,681,090,129.54/378,043.20
  6. Step 6: Final answer
    x = 477,937.68

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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.