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Finding the Fourth Proportional to 288,991.20, 433,429.20 and 139,231.20

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Solution

The fourth proportional to 288,991.20, 433,429.20 and 139,231.20 is: 208,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,991.20 : 433,429.20 = 139,231.20 : x
  2. Step 2: Convert to fraction form
    288,991.20/433,429.20 = 139,231.20/x
  3. Step 3: Cross multiply
    288,991.20x = 433,429.20 × 139,231.20
  4. Step 4: Simplify right side
    288,991.20x = 60,346,867,631.04
  5. Step 5: Solve for x
    x = 60,346,867,631.04/288,991.20
  6. Step 6: Final answer
    x = 208,819.05

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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.