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Finding the Fourth Proportional to 313,038.96, 431,982.09 and 169,794.24

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Solution

The fourth proportional to 313,038.96, 431,982.09 and 169,794.24 is: 234,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,038.96 : 431,982.09 = 169,794.24 : x
  2. Step 2: Convert to fraction form
    313,038.96/431,982.09 = 169,794.24/x
  3. Step 3: Cross multiply
    313,038.96x = 431,982.09 × 169,794.24
  4. Step 4: Simplify right side
    313,038.96x = 73,348,070,665.16
  5. Step 5: Solve for x
    x = 73,348,070,665.16/313,038.96
  6. Step 6: Final answer
    x = 234,309.72

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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.