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Finding the Fourth Proportional to 311,702.40, 430,153.92 and 177,563.52

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Solution

The fourth proportional to 311,702.40, 430,153.92 and 177,563.52 is: 245,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,702.40 : 430,153.92 = 177,563.52 : x
  2. Step 2: Convert to fraction form
    311,702.40/430,153.92 = 177,563.52/x
  3. Step 3: Cross multiply
    311,702.40x = 430,153.92 × 177,563.52
  4. Step 4: Simplify right side
    311,702.40x = 76,379,644,177.00
  5. Step 5: Solve for x
    x = 76,379,644,177.00/311,702.40
  6. Step 6: Final answer
    x = 245,040.28

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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.