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Finding the Fourth Proportional to 289,771.20, 434,656.80 and 100,231.20

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Solution

The fourth proportional to 289,771.20, 434,656.80 and 100,231.20 is: 150,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,771.20 : 434,656.80 = 100,231.20 : x
  2. Step 2: Convert to fraction form
    289,771.20/434,656.80 = 100,231.20/x
  3. Step 3: Cross multiply
    289,771.20x = 434,656.80 × 100,231.20
  4. Step 4: Simplify right side
    289,771.20x = 43,566,172,652.16
  5. Step 5: Solve for x
    x = 43,566,172,652.16/289,771.20
  6. Step 6: Final answer
    x = 150,346.80

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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.