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Finding the Fourth Proportional to 311,641.92, 430,032.96 and 175,645.44

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Solution

The fourth proportional to 311,641.92, 430,032.96 and 175,645.44 is: 242,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,641.92 : 430,032.96 = 175,645.44 : x
  2. Step 2: Convert to fraction form
    311,641.92/430,032.96 = 175,645.44/x
  3. Step 3: Cross multiply
    311,641.92x = 430,032.96 × 175,645.44
  4. Step 4: Simplify right side
    311,641.92x = 75,533,328,473.70
  5. Step 5: Solve for x
    x = 75,533,328,473.70/311,641.92
  6. Step 6: Final answer
    x = 242,372.17

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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.