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Finding the Fourth Proportional to 312,952.32, 431,874.42 and 169,712.32

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Solution

The fourth proportional to 312,952.32, 431,874.42 and 169,712.32 is: 234,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,952.32 : 431,874.42 = 169,712.32 : x
  2. Step 2: Convert to fraction form
    312,952.32/431,874.42 = 169,712.32/x
  3. Step 3: Cross multiply
    312,952.32x = 431,874.42 × 169,712.32
  4. Step 4: Simplify right side
    312,952.32x = 73,294,409,766.85
  5. Step 5: Solve for x
    x = 73,294,409,766.85/312,952.32
  6. Step 6: Final answer
    x = 234,203.12

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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.