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Finding the Fourth Proportional to 535,635.80, 739,199.22 and 320,733.08

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Solution

The fourth proportional to 535,635.80, 739,199.22 and 320,733.08 is: 442,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,635.80 : 739,199.22 = 320,733.08 : x
  2. Step 2: Convert to fraction form
    535,635.80/739,199.22 = 320,733.08/x
  3. Step 3: Cross multiply
    535,635.80x = 739,199.22 × 320,733.08
  4. Step 4: Simplify right side
    535,635.80x = 237,085,642,564.20
  5. Step 5: Solve for x
    x = 237,085,642,564.20/535,635.80
  6. Step 6: Final answer
    x = 442,624.71

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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.