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Finding the Fourth Proportional to 412,514.94, 618,683.31 and 146,284.14

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Solution

The fourth proportional to 412,514.94, 618,683.31 and 146,284.14 is: 219,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,514.94 : 618,683.31 = 146,284.14 : x
  2. Step 2: Convert to fraction form
    412,514.94/618,683.31 = 146,284.14/x
  3. Step 3: Cross multiply
    412,514.94x = 618,683.31 × 146,284.14
  4. Step 4: Simplify right side
    412,514.94x = 90,503,555,935.70
  5. Step 5: Solve for x
    x = 90,503,555,935.70/412,514.94
  6. Step 6: Final answer
    x = 219,394.61

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1.5x scale

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.