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Finding the Fourth Proportional to 408,649, 612,973.50 and 113,161

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Solution

The fourth proportional to 408,649, 612,973.50 and 113,161 is: 169,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,649 : 612,973.50 = 113,161 : x
  2. Step 2: Convert to fraction form
    408,649/612,973.50 = 113,161/x
  3. Step 3: Cross multiply
    408,649x = 612,973.50 × 113,161
  4. Step 4: Simplify right side
    408,649x = 69,364,694,233.50
  5. Step 5: Solve for x
    x = 69,364,694,233.50/408,649
  6. Step 6: Final answer
    x = 169,741.50

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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.