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Finding the Fourth Proportional to 312,115.13, 430,672.70 and 189,543.77

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Solution

The fourth proportional to 312,115.13, 430,672.70 and 189,543.77 is: 261,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,115.13 : 430,672.70 = 189,543.77 : x
  2. Step 2: Convert to fraction form
    312,115.13/430,672.70 = 189,543.77/x
  3. Step 3: Cross multiply
    312,115.13x = 430,672.70 × 189,543.77
  4. Step 4: Simplify right side
    312,115.13x = 81,631,328,744.62
  5. Step 5: Solve for x
    x = 81,631,328,744.62/312,115.13
  6. Step 6: Final answer
    x = 261,542.36

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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.