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Finding the Fourth Proportional to 412,065.43, 618,106.34 and 270,811.20

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Solution

The fourth proportional to 412,065.43, 618,106.34 and 270,811.20 is: 406,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,065.43 : 618,106.34 = 270,811.20 : x
  2. Step 2: Convert to fraction form
    412,065.43/618,106.34 = 270,811.20/x
  3. Step 3: Cross multiply
    412,065.43x = 618,106.34 × 270,811.20
  4. Step 4: Simplify right side
    412,065.43x = 167,390,119,181.09
  5. Step 5: Solve for x
    x = 167,390,119,181.09/412,065.43
  6. Step 6: Final answer
    x = 406,222.19

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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.