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Finding the Fourth Proportional to 312,829.94, 431,705.61 and 169,589.86

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Solution

The fourth proportional to 312,829.94, 431,705.61 and 169,589.86 is: 234,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,829.94 : 431,705.61 = 169,589.86 : x
  2. Step 2: Convert to fraction form
    312,829.94/431,705.61 = 169,589.86/x
  3. Step 3: Cross multiply
    312,829.94x = 431,705.61 × 169,589.86
  4. Step 4: Simplify right side
    312,829.94x = 73,212,893,961.11
  5. Step 5: Solve for x
    x = 73,212,893,961.11/312,829.94
  6. Step 6: Final answer
    x = 234,034.17

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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.