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Finding the Fourth Proportional to 418,436.85, 627,619.59 and 165,648.63

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Solution

The fourth proportional to 418,436.85, 627,619.59 and 165,648.63 is: 248,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,436.85 : 627,619.59 = 165,648.63 : x
  2. Step 2: Convert to fraction form
    418,436.85/627,619.59 = 165,648.63/x
  3. Step 3: Cross multiply
    418,436.85x = 627,619.59 × 165,648.63
  4. Step 4: Simplify right side
    418,436.85x = 103,964,325,244.66
  5. Step 5: Solve for x
    x = 103,964,325,244.66/418,436.85
  6. Step 6: Final answer
    x = 248,458.82

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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.