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Finding the Fourth Proportional to 392,498.80, 541,661.42 and 220,447.08

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Solution

The fourth proportional to 392,498.80, 541,661.42 and 220,447.08 is: 304,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,498.80 : 541,661.42 = 220,447.08 : x
  2. Step 2: Convert to fraction form
    392,498.80/541,661.42 = 220,447.08/x
  3. Step 3: Cross multiply
    392,498.80x = 541,661.42 × 220,447.08
  4. Step 4: Simplify right side
    392,498.80x = 119,407,679,037.31
  5. Step 5: Solve for x
    x = 119,407,679,037.31/392,498.80
  6. Step 6: Final answer
    x = 304,224.32

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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.