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Finding the Fourth Proportional to 288,859.12, 433,104.03 and 138,800.80

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Solution

The fourth proportional to 288,859.12, 433,104.03 and 138,800.80 is: 208,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,859.12 : 433,104.03 = 138,800.80 : x
  2. Step 2: Convert to fraction form
    288,859.12/433,104.03 = 138,800.80/x
  3. Step 3: Cross multiply
    288,859.12x = 433,104.03 × 138,800.80
  4. Step 4: Simplify right side
    288,859.12x = 60,115,185,847.22
  5. Step 5: Solve for x
    x = 60,115,185,847.22/288,859.12
  6. Step 6: Final answer
    x = 208,112.47

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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.