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Finding the Fourth Proportional to 280,499.26, 387,116.98 and 167,322

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Solution

The fourth proportional to 280,499.26, 387,116.98 and 167,322 is: 230,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,499.26 : 387,116.98 = 167,322 : x
  2. Step 2: Convert to fraction form
    280,499.26/387,116.98 = 167,322/x
  3. Step 3: Cross multiply
    280,499.26x = 387,116.98 × 167,322
  4. Step 4: Simplify right side
    280,499.26x = 64,773,187,327.56
  5. Step 5: Solve for x
    x = 64,773,187,327.56/280,499.26
  6. Step 6: Final answer
    x = 230,921.06

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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.