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Finding the Fourth Proportional to 398,782.20, 550,008.24 and 255,555.56

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Solution

The fourth proportional to 398,782.20, 550,008.24 and 255,555.56 is: 352,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,782.20 : 550,008.24 = 255,555.56 : x
  2. Step 2: Convert to fraction form
    398,782.20/550,008.24 = 255,555.56/x
  3. Step 3: Cross multiply
    398,782.20x = 550,008.24 × 255,555.56
  4. Step 4: Simplify right side
    398,782.20x = 140,557,663,777.81
  5. Step 5: Solve for x
    x = 140,557,663,777.81/398,782.20
  6. Step 6: Final answer
    x = 352,467.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.