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Finding the Fourth Proportional to 288,866.46, 433,370.60 and 203,643.86

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Solution

The fourth proportional to 288,866.46, 433,370.60 and 203,643.86 is: 305,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,866.46 : 433,370.60 = 203,643.86 : x
  2. Step 2: Convert to fraction form
    288,866.46/433,370.60 = 203,643.86/x
  3. Step 3: Cross multiply
    288,866.46x = 433,370.60 × 203,643.86
  4. Step 4: Simplify right side
    288,866.46x = 88,253,258,609.44
  5. Step 5: Solve for x
    x = 88,253,258,609.44/288,866.46
  6. Step 6: Final answer
    x = 305,515.77

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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.