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Finding the Fourth Proportional to 300,113.12, 414,166.80 and 164,138.96

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Solution

The fourth proportional to 300,113.12, 414,166.80 and 164,138.96 is: 226,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,113.12 : 414,166.80 = 164,138.96 : x
  2. Step 2: Convert to fraction form
    300,113.12/414,166.80 = 164,138.96/x
  3. Step 3: Cross multiply
    300,113.12x = 414,166.80 × 164,138.96
  4. Step 4: Simplify right side
    300,113.12x = 67,980,907,818.53
  5. Step 5: Solve for x
    x = 67,980,907,818.53/300,113.12
  6. Step 6: Final answer
    x = 226,517.61

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1.5x scale

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.