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Finding the Fourth Proportional to 253,778.34, 380,702.46 and 85,311.74

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Solution

The fourth proportional to 253,778.34, 380,702.46 and 85,311.74 is: 127,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,778.34 : 380,702.46 = 85,311.74 : x
  2. Step 2: Convert to fraction form
    253,778.34/380,702.46 = 85,311.74/x
  3. Step 3: Cross multiply
    253,778.34x = 380,702.46 × 85,311.74
  4. Step 4: Simplify right side
    253,778.34x = 32,478,389,284.88
  5. Step 5: Solve for x
    x = 32,478,389,284.88/253,778.34
  6. Step 6: Final answer
    x = 127,979.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.