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Finding the Fourth Proportional to 387,159.82, 534,187.08 and 225,922.84

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Solution

The fourth proportional to 387,159.82, 534,187.08 and 225,922.84 is: 311,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,159.82 : 534,187.08 = 225,922.84 : x
  2. Step 2: Convert to fraction form
    387,159.82/534,187.08 = 225,922.84/x
  3. Step 3: Cross multiply
    387,159.82x = 534,187.08 × 225,922.84
  4. Step 4: Simplify right side
    387,159.82x = 120,685,062,204.91
  5. Step 5: Solve for x
    x = 120,685,062,204.91/387,159.82
  6. Step 6: Final answer
    x = 311,718.97

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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.