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Finding the Fourth Proportional to 228,388.32, 342,497.28 and 78,586.24

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Solution

The fourth proportional to 228,388.32, 342,497.28 and 78,586.24 is: 117,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,388.32 : 342,497.28 = 78,586.24 : x
  2. Step 2: Convert to fraction form
    228,388.32/342,497.28 = 78,586.24/x
  3. Step 3: Cross multiply
    228,388.32x = 342,497.28 × 78,586.24
  4. Step 4: Simplify right side
    228,388.32x = 26,915,573,445.43
  5. Step 5: Solve for x
    x = 26,915,573,445.43/228,388.32
  6. Step 6: Final answer
    x = 117,850.04

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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.