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Finding the Fourth Proportional to 491,464.81, 737,302.39 and 278,333.46

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Solution

The fourth proportional to 491,464.81, 737,302.39 and 278,333.46 is: 417,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,464.81 : 737,302.39 = 278,333.46 : x
  2. Step 2: Convert to fraction form
    491,464.81/737,302.39 = 278,333.46/x
  3. Step 3: Cross multiply
    491,464.81x = 737,302.39 × 278,333.46
  4. Step 4: Simplify right side
    491,464.81x = 205,215,925,274.97
  5. Step 5: Solve for x
    x = 205,215,925,274.97/491,464.81
  6. Step 6: Final answer
    x = 417,559.75

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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.