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Finding the Fourth Proportional to 312,076.67, 430,676.88 and 176,143.70

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Solution

The fourth proportional to 312,076.67, 430,676.88 and 176,143.70 is: 243,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.67 : 430,676.88 = 176,143.70 : x
  2. Step 2: Convert to fraction form
    312,076.67/430,676.88 = 176,143.70/x
  3. Step 3: Cross multiply
    312,076.67x = 430,676.88 × 176,143.70
  4. Step 4: Simplify right side
    312,076.67x = 75,861,019,147.66
  5. Step 5: Solve for x
    x = 75,861,019,147.66/312,076.67
  6. Step 6: Final answer
    x = 243,084.56

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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.