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Finding the Fourth Proportional to 312,814.67, 431,532.02 and 185,400.05

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Solution

The fourth proportional to 312,814.67, 431,532.02 and 185,400.05 is: 255,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,814.67 : 431,532.02 = 185,400.05 : x
  2. Step 2: Convert to fraction form
    312,814.67/431,532.02 = 185,400.05/x
  3. Step 3: Cross multiply
    312,814.67x = 431,532.02 × 185,400.05
  4. Step 4: Simplify right side
    312,814.67x = 80,006,056,390.44
  5. Step 5: Solve for x
    x = 80,006,056,390.44/312,814.67
  6. Step 6: Final answer
    x = 255,761.85

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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.