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Finding the Fourth Proportional to 378,267.47, 567,290.48 and 311,542.10

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Solution

The fourth proportional to 378,267.47, 567,290.48 and 311,542.10 is: 467,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,267.47 : 567,290.48 = 311,542.10 : x
  2. Step 2: Convert to fraction form
    378,267.47/567,290.48 = 311,542.10/x
  3. Step 3: Cross multiply
    378,267.47x = 567,290.48 × 311,542.10
  4. Step 4: Simplify right side
    378,267.47x = 176,734,863,055.05
  5. Step 5: Solve for x
    x = 176,734,863,055.05/378,267.47
  6. Step 6: Final answer
    x = 467,221.95

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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.