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Finding the Fourth Proportional to 300,700.80, 451,012.32 and 113,688

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Solution

The fourth proportional to 300,700.80, 451,012.32 and 113,688 is: 170,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,700.80 : 451,012.32 = 113,688 : x
  2. Step 2: Convert to fraction form
    300,700.80/451,012.32 = 113,688/x
  3. Step 3: Cross multiply
    300,700.80x = 451,012.32 × 113,688
  4. Step 4: Simplify right side
    300,700.80x = 51,274,688,636.16
  5. Step 5: Solve for x
    x = 51,274,688,636.16/300,700.80
  6. Step 6: Final answer
    x = 170,517.30

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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.