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Finding the Fourth Proportional to 288,709.94, 433,060.22 and 86,306.54

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Solution

The fourth proportional to 288,709.94, 433,060.22 and 86,306.54 is: 129,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,709.94 : 433,060.22 = 86,306.54 : x
  2. Step 2: Convert to fraction form
    288,709.94/433,060.22 = 86,306.54/x
  3. Step 3: Cross multiply
    288,709.94x = 433,060.22 × 86,306.54
  4. Step 4: Simplify right side
    288,709.94x = 37,375,929,199.84
  5. Step 5: Solve for x
    x = 37,375,929,199.84/288,709.94
  6. Step 6: Final answer
    x = 129,458.41

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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.