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Finding the Fourth Proportional to 288,166.32, 431,899.29 and 203,950.98

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Solution

The fourth proportional to 288,166.32, 431,899.29 and 203,950.98 is: 305,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,166.32 : 431,899.29 = 203,950.98 : x
  2. Step 2: Convert to fraction form
    288,166.32/431,899.29 = 203,950.98/x
  3. Step 3: Cross multiply
    288,166.32x = 431,899.29 × 203,950.98
  4. Step 4: Simplify right side
    288,166.32x = 88,086,283,456.80
  5. Step 5: Solve for x
    x = 88,086,283,456.80/288,166.32
  6. Step 6: Final answer
    x = 305,678.62

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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.