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Finding the Fourth Proportional to 301,648.62, 416,278.52 and 165,685.75

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Solution

The fourth proportional to 301,648.62, 416,278.52 and 165,685.75 is: 228,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,648.62 : 416,278.52 = 165,685.75 : x
  2. Step 2: Convert to fraction form
    301,648.62/416,278.52 = 165,685.75/x
  3. Step 3: Cross multiply
    301,648.62x = 416,278.52 × 165,685.75
  4. Step 4: Simplify right side
    301,648.62x = 68,971,418,795.09
  5. Step 5: Solve for x
    x = 68,971,418,795.09/301,648.62
  6. Step 6: Final answer
    x = 228,648.22

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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.