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Finding the Fourth Proportional to 306,761.80, 460,219.02 and 243,819.40

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Solution

The fourth proportional to 306,761.80, 460,219.02 and 243,819.40 is: 365,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,761.80 : 460,219.02 = 243,819.40 : x
  2. Step 2: Convert to fraction form
    306,761.80/460,219.02 = 243,819.40/x
  3. Step 3: Cross multiply
    306,761.80x = 460,219.02 × 243,819.40
  4. Step 4: Simplify right side
    306,761.80x = 112,210,325,324.99
  5. Step 5: Solve for x
    x = 112,210,325,324.99/306,761.80
  6. Step 6: Final answer
    x = 365,789.76

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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.