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Finding the Fourth Proportional to 312,314.79, 430,997.85 and 169,077.90

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Solution

The fourth proportional to 312,314.79, 430,997.85 and 169,077.90 is: 233,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,314.79 : 430,997.85 = 169,077.90 : x
  2. Step 2: Convert to fraction form
    312,314.79/430,997.85 = 169,077.90/x
  3. Step 3: Cross multiply
    312,314.79x = 430,997.85 × 169,077.90
  4. Step 4: Simplify right side
    312,314.79x = 72,872,211,382.52
  5. Step 5: Solve for x
    x = 72,872,211,382.52/312,314.79
  6. Step 6: Final answer
    x = 233,329.36

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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.