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Finding the Fourth Proportional to 414,532.80, 621,799.20 and 148,314.20

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Solution

The fourth proportional to 414,532.80, 621,799.20 and 148,314.20 is: 222,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,532.80 : 621,799.20 = 148,314.20 : x
  2. Step 2: Convert to fraction form
    414,532.80/621,799.20 = 148,314.20/x
  3. Step 3: Cross multiply
    414,532.80x = 621,799.20 × 148,314.20
  4. Step 4: Simplify right side
    414,532.80x = 92,221,650,908.64
  5. Step 5: Solve for x
    x = 92,221,650,908.64/414,532.80
  6. Step 6: Final answer
    x = 222,471.30

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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.