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Finding the Fourth Proportional to 312,805.85, 468,451.07 and 216,473.12

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Solution

The fourth proportional to 312,805.85, 468,451.07 and 216,473.12 is: 324,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,805.85 : 468,451.07 = 216,473.12 : x
  2. Step 2: Convert to fraction form
    312,805.85/468,451.07 = 216,473.12/x
  3. Step 3: Cross multiply
    312,805.85x = 468,451.07 × 216,473.12
  4. Step 4: Simplify right side
    312,805.85x = 101,407,063,607.87
  5. Step 5: Solve for x
    x = 101,407,063,607.87/312,805.85
  6. Step 6: Final answer
    x = 324,185.32

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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.