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Finding the Fourth Proportional to 542,409.20, 813,628.20 and 168,441.20

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Solution

The fourth proportional to 542,409.20, 813,628.20 and 168,441.20 is: 252,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,409.20 : 813,628.20 = 168,441.20 : x
  2. Step 2: Convert to fraction form
    542,409.20/813,628.20 = 168,441.20/x
  3. Step 3: Cross multiply
    542,409.20x = 813,628.20 × 168,441.20
  4. Step 4: Simplify right side
    542,409.20x = 137,048,510,361.84
  5. Step 5: Solve for x
    x = 137,048,510,361.84/542,409.20
  6. Step 6: Final answer
    x = 252,666.27

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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.