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Finding the Fourth Proportional to 331,203.40, 496,805.10 and 278,059.30

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Solution

The fourth proportional to 331,203.40, 496,805.10 and 278,059.30 is: 417,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,203.40 : 496,805.10 = 278,059.30 : x
  2. Step 2: Convert to fraction form
    331,203.40/496,805.10 = 278,059.30/x
  3. Step 3: Cross multiply
    331,203.40x = 496,805.10 × 278,059.30
  4. Step 4: Simplify right side
    331,203.40x = 138,141,278,342.43
  5. Step 5: Solve for x
    x = 138,141,278,342.43/331,203.40
  6. Step 6: Final answer
    x = 417,088.95

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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.