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Finding the Fourth Proportional to 312,363.54, 431,059.86 and 169,120.58

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Solution

The fourth proportional to 312,363.54, 431,059.86 and 169,120.58 is: 233,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,363.54 : 431,059.86 = 169,120.58 : x
  2. Step 2: Convert to fraction form
    312,363.54/431,059.86 = 169,120.58/x
  3. Step 3: Cross multiply
    312,363.54x = 431,059.86 × 169,120.58
  4. Step 4: Simplify right side
    312,363.54x = 72,901,091,382.62
  5. Step 5: Solve for x
    x = 72,901,091,382.62/312,363.54
  6. Step 6: Final answer
    x = 233,385.41

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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.