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Finding the Fourth Proportional to 412,394.68, 618,149.76 and 270,186.22

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Solution

The fourth proportional to 412,394.68, 618,149.76 and 270,186.22 is: 404,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,394.68 : 618,149.76 = 270,186.22 : x
  2. Step 2: Convert to fraction form
    412,394.68/618,149.76 = 270,186.22/x
  3. Step 3: Cross multiply
    412,394.68x = 618,149.76 × 270,186.22
  4. Step 4: Simplify right side
    412,394.68x = 167,015,547,048.31
  5. Step 5: Solve for x
    x = 167,015,547,048.31/412,394.68
  6. Step 6: Final answer
    x = 404,989.58

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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.