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Finding the Fourth Proportional to 317,282.06, 475,947.70 and 106,920

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Solution

The fourth proportional to 317,282.06, 475,947.70 and 106,920 is: 160,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,282.06 : 475,947.70 = 106,920 : x
  2. Step 2: Convert to fraction form
    317,282.06/475,947.70 = 106,920/x
  3. Step 3: Cross multiply
    317,282.06x = 475,947.70 × 106,920
  4. Step 4: Simplify right side
    317,282.06x = 50,888,327,816.70
  5. Step 5: Solve for x
    x = 50,888,327,816.70/317,282.06
  6. Step 6: Final answer
    x = 160,388.29

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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.