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Finding the Fourth Proportional to 217,472.92, 300,247.20 and 144,977.92

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Solution

The fourth proportional to 217,472.92, 300,247.20 and 144,977.92 is: 200,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,472.92 : 300,247.20 = 144,977.92 : x
  2. Step 2: Convert to fraction form
    217,472.92/300,247.20 = 144,977.92/x
  3. Step 3: Cross multiply
    217,472.92x = 300,247.20 × 144,977.92
  4. Step 4: Simplify right side
    217,472.92x = 43,529,214,541.82
  5. Step 5: Solve for x
    x = 43,529,214,541.82/217,472.92
  6. Step 6: Final answer
    x = 200,159.24

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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.