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Finding the Fourth Proportional to 295,811.30, 443,716.95 and 278,315.30

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Solution

The fourth proportional to 295,811.30, 443,716.95 and 278,315.30 is: 417,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,811.30 : 443,716.95 = 278,315.30 : x
  2. Step 2: Convert to fraction form
    295,811.30/443,716.95 = 278,315.30/x
  3. Step 3: Cross multiply
    295,811.30x = 443,716.95 × 278,315.30
  4. Step 4: Simplify right side
    295,811.30x = 123,493,216,054.34
  5. Step 5: Solve for x
    x = 123,493,216,054.34/295,811.30
  6. Step 6: Final answer
    x = 417,472.95

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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.