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Finding the Fourth Proportional to 414,922.40, 622,844.40 and 257,328.80

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Solution

The fourth proportional to 414,922.40, 622,844.40 and 257,328.80 is: 386,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,922.40 : 622,844.40 = 257,328.80 : x
  2. Step 2: Convert to fraction form
    414,922.40/622,844.40 = 257,328.80/x
  3. Step 3: Cross multiply
    414,922.40x = 622,844.40 × 257,328.80
  4. Step 4: Simplify right side
    414,922.40x = 160,275,802,038.72
  5. Step 5: Solve for x
    x = 160,275,802,038.72/414,922.40
  6. Step 6: Final answer
    x = 386,278.98

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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.