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Finding the Fourth Proportional to 491,430.22, 737,250.58 and 278,298.87

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Solution

The fourth proportional to 491,430.22, 737,250.58 and 278,298.87 is: 417,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,430.22 : 737,250.58 = 278,298.87 : x
  2. Step 2: Convert to fraction form
    491,430.22/737,250.58 = 278,298.87/x
  3. Step 3: Cross multiply
    491,430.22x = 737,250.58 × 278,298.87
  4. Step 4: Simplify right side
    491,430.22x = 205,175,998,243.10
  5. Step 5: Solve for x
    x = 205,175,998,243.10/491,430.22
  6. Step 6: Final answer
    x = 417,507.90

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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.