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Finding the Fourth Proportional to 288,584.85, 432,643.78 and 120,231.72

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Solution

The fourth proportional to 288,584.85, 432,643.78 and 120,231.72 is: 180,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,584.85 : 432,643.78 = 120,231.72 : x
  2. Step 2: Convert to fraction form
    288,584.85/432,643.78 = 120,231.72/x
  3. Step 3: Cross multiply
    288,584.85x = 432,643.78 × 120,231.72
  4. Step 4: Simplify right side
    288,584.85x = 52,017,505,816.70
  5. Step 5: Solve for x
    x = 52,017,505,816.70/288,584.85
  6. Step 6: Final answer
    x = 180,250.30

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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.