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Finding the Fourth Proportional to 295,819.30, 443,728.95 and 278,323.30

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Solution

The fourth proportional to 295,819.30, 443,728.95 and 278,323.30 is: 417,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,819.30 : 443,728.95 = 278,323.30 : x
  2. Step 2: Convert to fraction form
    295,819.30/443,728.95 = 278,323.30/x
  3. Step 3: Cross multiply
    295,819.30x = 443,728.95 × 278,323.30
  4. Step 4: Simplify right side
    295,819.30x = 123,500,105,669.54
  5. Step 5: Solve for x
    x = 123,500,105,669.54/295,819.30
  6. Step 6: Final answer
    x = 417,484.95

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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.