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Finding the Fourth Proportional to 280,504.22, 387,123.82 and 167,326.96

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Solution

The fourth proportional to 280,504.22, 387,123.82 and 167,326.96 is: 230,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,504.22 : 387,123.82 = 167,326.96 : x
  2. Step 2: Convert to fraction form
    280,504.22/387,123.82 = 167,326.96/x
  3. Step 3: Cross multiply
    280,504.22x = 387,123.82 × 167,326.96
  4. Step 4: Simplify right side
    280,504.22x = 64,776,251,944.19
  5. Step 5: Solve for x
    x = 64,776,251,944.19/280,504.22
  6. Step 6: Final answer
    x = 230,927.91

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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.