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Finding the Fourth Proportional to 221,490.70, 332,564.10 and 171,627.10

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Solution

The fourth proportional to 221,490.70, 332,564.10 and 171,627.10 is: 257,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,490.70 : 332,564.10 = 171,627.10 : x
  2. Step 2: Convert to fraction form
    221,490.70/332,564.10 = 171,627.10/x
  3. Step 3: Cross multiply
    221,490.70x = 332,564.10 × 171,627.10
  4. Step 4: Simplify right side
    221,490.70x = 57,077,012,047.11
  5. Step 5: Solve for x
    x = 57,077,012,047.11/221,490.70
  6. Step 6: Final answer
    x = 257,694.85

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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.