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Finding the Fourth Proportional to 279,756.19, 419,758.33 and 146,604.79

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Solution

The fourth proportional to 279,756.19, 419,758.33 and 146,604.79 is: 219,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,756.19 : 419,758.33 = 146,604.79 : x
  2. Step 2: Convert to fraction form
    279,756.19/419,758.33 = 146,604.79/x
  3. Step 3: Cross multiply
    279,756.19x = 419,758.33 × 146,604.79
  4. Step 4: Simplify right side
    279,756.19x = 61,538,583,021.71
  5. Step 5: Solve for x
    x = 61,538,583,021.71/279,756.19
  6. Step 6: Final answer
    x = 219,972.20

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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.