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Finding the Fourth Proportional to 281,881, 389,030.34 and 162,649

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Solution

The fourth proportional to 281,881, 389,030.34 and 162,649 is: 224,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,881 : 389,030.34 = 162,649 : x
  2. Step 2: Convert to fraction form
    281,881/389,030.34 = 162,649/x
  3. Step 3: Cross multiply
    281,881x = 389,030.34 × 162,649
  4. Step 4: Simplify right side
    281,881x = 63,275,395,770.66
  5. Step 5: Solve for x
    x = 63,275,395,770.66/281,881
  6. Step 6: Final answer
    x = 224,475.56

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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.