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Finding the Fourth Proportional to 288,763.38, 433,086.75 and 78,403.14

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Solution

The fourth proportional to 288,763.38, 433,086.75 and 78,403.14 is: 117,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,763.38 : 433,086.75 = 78,403.14 : x
  2. Step 2: Convert to fraction form
    288,763.38/433,086.75 = 78,403.14/x
  3. Step 3: Cross multiply
    288,763.38x = 433,086.75 × 78,403.14
  4. Step 4: Simplify right side
    288,763.38x = 33,955,361,092.40
  5. Step 5: Solve for x
    x = 33,955,361,092.40/288,763.38
  6. Step 6: Final answer
    x = 117,588.88

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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.