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Finding the Fourth Proportional to 312,703.97, 431,531.85 and 169,464.01

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Solution

The fourth proportional to 312,703.97, 431,531.85 and 169,464.01 is: 233,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,703.97 : 431,531.85 = 169,464.01 : x
  2. Step 2: Convert to fraction form
    312,703.97/431,531.85 = 169,464.01/x
  3. Step 3: Cross multiply
    312,703.97x = 431,531.85 × 169,464.01
  4. Step 4: Simplify right side
    312,703.97x = 73,129,120,081.74
  5. Step 5: Solve for x
    x = 73,129,120,081.74/312,703.97
  6. Step 6: Final answer
    x = 233,860.54

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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.