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Finding the Fourth Proportional to 312,785.57, 431,632.52 and 169,542.54

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Solution

The fourth proportional to 312,785.57, 431,632.52 and 169,542.54 is: 233,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,785.57 : 431,632.52 = 169,542.54 : x
  2. Step 2: Convert to fraction form
    312,785.57/431,632.52 = 169,542.54/x
  3. Step 3: Cross multiply
    312,785.57x = 431,632.52 × 169,542.54
  4. Step 4: Simplify right side
    312,785.57x = 73,180,073,787.40
  5. Step 5: Solve for x
    x = 73,180,073,787.40/312,785.57
  6. Step 6: Final answer
    x = 233,962.44

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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.