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Finding the Fourth Proportional to 312,306.81, 431,709.72 and 278,648.88

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Solution

The fourth proportional to 312,306.81, 431,709.72 and 278,648.88 is: 385,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306.81 : 431,709.72 = 278,648.88 : x
  2. Step 2: Convert to fraction form
    312,306.81/431,709.72 = 278,648.88/x
  3. Step 3: Cross multiply
    312,306.81x = 431,709.72 × 278,648.88
  4. Step 4: Simplify right side
    312,306.81x = 120,295,429,963.11
  5. Step 5: Solve for x
    x = 120,295,429,963.11/312,306.81
  6. Step 6: Final answer
    x = 385,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.