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Finding the Fourth Proportional to 414,190.32, 620,374.80 and 342,298.20

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Solution

The fourth proportional to 414,190.32, 620,374.80 and 342,298.20 is: 512,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,190.32 : 620,374.80 = 342,298.20 : x
  2. Step 2: Convert to fraction form
    414,190.32/620,374.80 = 342,298.20/x
  3. Step 3: Cross multiply
    414,190.32x = 620,374.80 × 342,298.20
  4. Step 4: Simplify right side
    414,190.32x = 212,353,177,365.36
  5. Step 5: Solve for x
    x = 212,353,177,365.36/414,190.32
  6. Step 6: Final answer
    x = 512,694.69

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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.