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Finding the Fourth Proportional to 412,058.40, 618,087.60 and 342,074.40

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Solution

The fourth proportional to 412,058.40, 618,087.60 and 342,074.40 is: 513,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,058.40 : 618,087.60 = 342,074.40 : x
  2. Step 2: Convert to fraction form
    412,058.40/618,087.60 = 342,074.40/x
  3. Step 3: Cross multiply
    412,058.40x = 618,087.60 × 342,074.40
  4. Step 4: Simplify right side
    412,058.40x = 211,431,944,917.44
  5. Step 5: Solve for x
    x = 211,431,944,917.44/412,058.40
  6. Step 6: Final answer
    x = 513,111.60

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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.