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Finding the Fourth Proportional to 312,869, 469,311.18 and 113,208.20

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Solution

The fourth proportional to 312,869, 469,311.18 and 113,208.20 is: 169,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,869 : 469,311.18 = 113,208.20 : x
  2. Step 2: Convert to fraction form
    312,869/469,311.18 = 113,208.20/x
  3. Step 3: Cross multiply
    312,869x = 469,311.18 × 113,208.20
  4. Step 4: Simplify right side
    312,869x = 53,129,873,927.68
  5. Step 5: Solve for x
    x = 53,129,873,927.68/312,869
  6. Step 6: Final answer
    x = 169,815.08

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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.