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Finding the Fourth Proportional to 312,150.90, 430,769.73 and 176,190.60

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Solution

The fourth proportional to 312,150.90, 430,769.73 and 176,190.60 is: 243,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,150.90 : 430,769.73 = 176,190.60 : x
  2. Step 2: Convert to fraction form
    312,150.90/430,769.73 = 176,190.60/x
  3. Step 3: Cross multiply
    312,150.90x = 430,769.73 × 176,190.60
  4. Step 4: Simplify right side
    312,150.90x = 75,897,577,190.54
  5. Step 5: Solve for x
    x = 75,897,577,190.54/312,150.90
  6. Step 6: Final answer
    x = 243,143.87

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1.5x scale

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.