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Finding the Fourth Proportional to 279,284.29, 418,397.87 and 165,090.22

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Solution

The fourth proportional to 279,284.29, 418,397.87 and 165,090.22 is: 247,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,284.29 : 418,397.87 = 165,090.22 : x
  2. Step 2: Convert to fraction form
    279,284.29/418,397.87 = 165,090.22/x
  3. Step 3: Cross multiply
    279,284.29x = 418,397.87 × 165,090.22
  4. Step 4: Simplify right side
    279,284.29x = 69,073,395,772.56
  5. Step 5: Solve for x
    x = 69,073,395,772.56/279,284.29
  6. Step 6: Final answer
    x = 247,322.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.