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Finding the Fourth Proportional to 412,452.15, 618,678.23 and 412,452.15

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Solution

The fourth proportional to 412,452.15, 618,678.23 and 412,452.15 is: 618,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,452.15 : 618,678.23 = 412,452.15 : x
  2. Step 2: Convert to fraction form
    412,452.15/618,678.23 = 412,452.15/x
  3. Step 3: Cross multiply
    412,452.15x = 618,678.23 × 412,452.15
  4. Step 4: Simplify right side
    412,452.15x = 255,175,164,059.43
  5. Step 5: Solve for x
    x = 255,175,164,059.43/412,452.15
  6. Step 6: Final answer
    x = 618,678.23

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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.