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Finding the Fourth Proportional to 304,867.80, 457,301.70 and 80,262.90

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Solution

The fourth proportional to 304,867.80, 457,301.70 and 80,262.90 is: 120,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,867.80 : 457,301.70 = 80,262.90 : x
  2. Step 2: Convert to fraction form
    304,867.80/457,301.70 = 80,262.90/x
  3. Step 3: Cross multiply
    304,867.80x = 457,301.70 × 80,262.90
  4. Step 4: Simplify right side
    304,867.80x = 36,704,360,616.93
  5. Step 5: Solve for x
    x = 36,704,360,616.93/304,867.80
  6. Step 6: Final answer
    x = 120,394.35

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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.