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Finding the Fourth Proportional to 312,638.10, 431,440.97 and 169,398.11

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Solution

The fourth proportional to 312,638.10, 431,440.97 and 169,398.11 is: 233,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,638.10 : 431,440.97 = 169,398.11 : x
  2. Step 2: Convert to fraction form
    312,638.10/431,440.97 = 169,398.11/x
  3. Step 3: Cross multiply
    312,638.10x = 431,440.97 × 169,398.11
  4. Step 4: Simplify right side
    312,638.10x = 73,085,281,890.37
  5. Step 5: Solve for x
    x = 73,085,281,890.37/312,638.10
  6. Step 6: Final answer
    x = 233,769.59

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1.5x scale

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.