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Finding the Fourth Proportional to 296,520.92, 409,168.32 and 169,172

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Solution

The fourth proportional to 296,520.92, 409,168.32 and 169,172 is: 233,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,520.92 : 409,168.32 = 169,172 : x
  2. Step 2: Convert to fraction form
    296,520.92/409,168.32 = 169,172/x
  3. Step 3: Cross multiply
    296,520.92x = 409,168.32 × 169,172
  4. Step 4: Simplify right side
    296,520.92x = 69,219,823,031.04
  5. Step 5: Solve for x
    x = 69,219,823,031.04/296,520.92
  6. Step 6: Final answer
    x = 233,439.93

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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.