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Finding the Fourth Proportional to 412,066.79, 618,169.98 and 142,121.64

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Solution

The fourth proportional to 412,066.79, 618,169.98 and 142,121.64 is: 213,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,066.79 : 618,169.98 = 142,121.64 : x
  2. Step 2: Convert to fraction form
    412,066.79/618,169.98 = 142,121.64/x
  3. Step 3: Cross multiply
    412,066.79x = 618,169.98 × 142,121.64
  4. Step 4: Simplify right side
    412,066.79x = 87,855,329,930.82
  5. Step 5: Solve for x
    x = 87,855,329,930.82/412,066.79
  6. Step 6: Final answer
    x = 213,206.53

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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.