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Finding the Fourth Proportional to 288,750.32, 433,199.29 and 111,209.66

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Solution

The fourth proportional to 288,750.32, 433,199.29 and 111,209.66 is: 166,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,750.32 : 433,199.29 = 111,209.66 : x
  2. Step 2: Convert to fraction form
    288,750.32/433,199.29 = 111,209.66/x
  3. Step 3: Cross multiply
    288,750.32x = 433,199.29 × 111,209.66
  4. Step 4: Simplify right side
    288,750.32x = 48,175,945,142.14
  5. Step 5: Solve for x
    x = 48,175,945,142.14/288,750.32
  6. Step 6: Final answer
    x = 166,842.92

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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.