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Finding the Fourth Proportional to 233,020.20, 349,530.30 and 149,039.40

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Solution

The fourth proportional to 233,020.20, 349,530.30 and 149,039.40 is: 223,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,020.20 : 349,530.30 = 149,039.40 : x
  2. Step 2: Convert to fraction form
    233,020.20/349,530.30 = 149,039.40/x
  3. Step 3: Cross multiply
    233,020.20x = 349,530.30 × 149,039.40
  4. Step 4: Simplify right side
    233,020.20x = 52,093,786,193.82
  5. Step 5: Solve for x
    x = 52,093,786,193.82/233,020.20
  6. Step 6: Final answer
    x = 223,559.10

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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.