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Finding the Fourth Proportional to 209,446.70, 314,191.92 and 120,800.30

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Solution

The fourth proportional to 209,446.70, 314,191.92 and 120,800.30 is: 181,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,446.70 : 314,191.92 = 120,800.30 : x
  2. Step 2: Convert to fraction form
    209,446.70/314,191.92 = 120,800.30/x
  3. Step 3: Cross multiply
    209,446.70x = 314,191.92 × 120,800.30
  4. Step 4: Simplify right side
    209,446.70x = 37,954,478,193.58
  5. Step 5: Solve for x
    x = 37,954,478,193.58/209,446.70
  6. Step 6: Final answer
    x = 181,213.06

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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.