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Finding the Fourth Proportional to 412,668.19, 618,205.24 and 304,406.83

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Solution

The fourth proportional to 412,668.19, 618,205.24 and 304,406.83 is: 456,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,668.19 : 618,205.24 = 304,406.83 : x
  2. Step 2: Convert to fraction form
    412,668.19/618,205.24 = 304,406.83/x
  3. Step 3: Cross multiply
    412,668.19x = 618,205.24 × 304,406.83
  4. Step 4: Simplify right side
    412,668.19x = 188,185,897,397.79
  5. Step 5: Solve for x
    x = 188,185,897,397.79/412,668.19
  6. Step 6: Final answer
    x = 456,022.30

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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.