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Finding the Fourth Proportional to 418,419.23, 627,633.27 and 165,761.24

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Solution

The fourth proportional to 418,419.23, 627,633.27 and 165,761.24 is: 248,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,419.23 : 627,633.27 = 165,761.24 : x
  2. Step 2: Convert to fraction form
    418,419.23/627,633.27 = 165,761.24/x
  3. Step 3: Cross multiply
    418,419.23x = 627,633.27 × 165,761.24
  4. Step 4: Simplify right side
    418,419.23x = 104,037,265,962.29
  5. Step 5: Solve for x
    x = 104,037,265,962.29/418,419.23
  6. Step 6: Final answer
    x = 248,643.61

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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.