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Finding the Fourth Proportional to 491,464.31, 737,301.64 and 278,332.96

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Solution

The fourth proportional to 491,464.31, 737,301.64 and 278,332.96 is: 417,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,464.31 : 737,301.64 = 278,332.96 : x
  2. Step 2: Convert to fraction form
    491,464.31/737,301.64 = 278,332.96/x
  3. Step 3: Cross multiply
    491,464.31x = 737,301.64 × 278,332.96
  4. Step 4: Simplify right side
    491,464.31x = 205,215,347,874.05
  5. Step 5: Solve for x
    x = 205,215,347,874.05/491,464.31
  6. Step 6: Final answer
    x = 417,559.00

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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.