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Finding the Fourth Proportional to 321,782.20, 442,484.76 and 279,266.92

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Solution

The fourth proportional to 321,782.20, 442,484.76 and 279,266.92 is: 384,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,782.20 : 442,484.76 = 279,266.92 : x
  2. Step 2: Convert to fraction form
    321,782.20/442,484.76 = 279,266.92/x
  3. Step 3: Cross multiply
    321,782.20x = 442,484.76 × 279,266.92
  4. Step 4: Simplify right side
    321,782.20x = 123,571,356,072.14
  5. Step 5: Solve for x
    x = 123,571,356,072.14/321,782.20
  6. Step 6: Final answer
    x = 384,021.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.