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Finding the Fourth Proportional to 288,696.96, 433,103.76 and 120,229.92

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Solution

The fourth proportional to 288,696.96, 433,103.76 and 120,229.92 is: 180,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,696.96 : 433,103.76 = 120,229.92 : x
  2. Step 2: Convert to fraction form
    288,696.96/433,103.76 = 120,229.92/x
  3. Step 3: Cross multiply
    288,696.96x = 433,103.76 × 120,229.92
  4. Step 4: Simplify right side
    288,696.96x = 52,072,030,416.50
  5. Step 5: Solve for x
    x = 52,072,030,416.50/288,696.96
  6. Step 6: Final answer
    x = 180,369.17

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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.