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Finding the Fourth Proportional to 312,301.78, 430,976.37 and 169,061.71

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Solution

The fourth proportional to 312,301.78, 430,976.37 and 169,061.71 is: 233,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,301.78 : 430,976.37 = 169,061.71 : x
  2. Step 2: Convert to fraction form
    312,301.78/430,976.37 = 169,061.71/x
  3. Step 3: Cross multiply
    312,301.78x = 430,976.37 × 169,061.71
  4. Step 4: Simplify right side
    312,301.78x = 72,861,600,758.81
  5. Step 5: Solve for x
    x = 72,861,600,758.81/312,301.78
  6. Step 6: Final answer
    x = 233,305.11

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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.