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Finding the Fourth Proportional to 313,187.32, 469,852.76 and 135,724.12

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Solution

The fourth proportional to 313,187.32, 469,852.76 and 135,724.12 is: 203,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,187.32 : 469,852.76 = 135,724.12 : x
  2. Step 2: Convert to fraction form
    313,187.32/469,852.76 = 135,724.12/x
  3. Step 3: Cross multiply
    313,187.32x = 469,852.76 × 135,724.12
  4. Step 4: Simplify right side
    313,187.32x = 63,770,352,380.57
  5. Step 5: Solve for x
    x = 63,770,352,380.57/313,187.32
  6. Step 6: Final answer
    x = 203,617.29

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1.5x scale

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.