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Finding the Fourth Proportional to 311,691.72, 430,134.64 and 177,555.72

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Solution

The fourth proportional to 311,691.72, 430,134.64 and 177,555.72 is: 245,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,691.72 : 430,134.64 = 177,555.72 : x
  2. Step 2: Convert to fraction form
    311,691.72/430,134.64 = 177,555.72/x
  3. Step 3: Cross multiply
    311,691.72x = 430,134.64 × 177,555.72
  4. Step 4: Simplify right side
    311,691.72x = 76,372,865,702.14
  5. Step 5: Solve for x
    x = 76,372,865,702.14/311,691.72
  6. Step 6: Final answer
    x = 245,026.93

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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.