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Finding the Fourth Proportional to 311,947.96, 430,456.80 and 175,969.48

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Solution

The fourth proportional to 311,947.96, 430,456.80 and 175,969.48 is: 242,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,947.96 : 430,456.80 = 175,969.48 : x
  2. Step 2: Convert to fraction form
    311,947.96/430,456.80 = 175,969.48/x
  3. Step 3: Cross multiply
    311,947.96x = 430,456.80 × 175,969.48
  4. Step 4: Simplify right side
    311,947.96x = 75,747,259,258.46
  5. Step 5: Solve for x
    x = 75,747,259,258.46/311,947.96
  6. Step 6: Final answer
    x = 242,820.18

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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.