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Finding the Fourth Proportional to 282,624.36, 389,909.86 and 182,081

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Solution

The fourth proportional to 282,624.36, 389,909.86 and 182,081 is: 251,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,624.36 : 389,909.86 = 182,081 : x
  2. Step 2: Convert to fraction form
    282,624.36/389,909.86 = 182,081/x
  3. Step 3: Cross multiply
    282,624.36x = 389,909.86 × 182,081
  4. Step 4: Simplify right side
    282,624.36x = 70,995,177,218.66
  5. Step 5: Solve for x
    x = 70,995,177,218.66/282,624.36
  6. Step 6: Final answer
    x = 251,199.78

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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.