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Finding the Fourth Proportional to 289,208.80, 433,813.20 and 149,240.80

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Solution

The fourth proportional to 289,208.80, 433,813.20 and 149,240.80 is: 223,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,208.80 : 433,813.20 = 149,240.80 : x
  2. Step 2: Convert to fraction form
    289,208.80/433,813.20 = 149,240.80/x
  3. Step 3: Cross multiply
    289,208.80x = 433,813.20 × 149,240.80
  4. Step 4: Simplify right side
    289,208.80x = 64,742,629,018.56
  5. Step 5: Solve for x
    x = 64,742,629,018.56/289,208.80
  6. Step 6: Final answer
    x = 223,861.20

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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.