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Finding the Fourth Proportional to 217,951.46, 300,907.20 and 172,811.78

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Solution

The fourth proportional to 217,951.46, 300,907.20 and 172,811.78 is: 238,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,951.46 : 300,907.20 = 172,811.78 : x
  2. Step 2: Convert to fraction form
    217,951.46/300,907.20 = 172,811.78/x
  3. Step 3: Cross multiply
    217,951.46x = 300,907.20 × 172,811.78
  4. Step 4: Simplify right side
    217,951.46x = 52,000,307,342.28
  5. Step 5: Solve for x
    x = 52,000,307,342.28/217,951.46
  6. Step 6: Final answer
    x = 238,586.65

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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.