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Finding the Fourth Proportional to 311,702.90, 430,154.61 and 177,564.02

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Solution

The fourth proportional to 311,702.90, 430,154.61 and 177,564.02 is: 245,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,702.90 : 430,154.61 = 177,564.02 : x
  2. Step 2: Convert to fraction form
    311,702.90/430,154.61 = 177,564.02/x
  3. Step 3: Cross multiply
    311,702.90x = 430,154.61 × 177,564.02
  4. Step 4: Simplify right side
    311,702.90x = 76,379,981,773.13
  5. Step 5: Solve for x
    x = 76,379,981,773.13/311,702.90
  6. Step 6: Final answer
    x = 245,040.97

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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.