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Finding the Fourth Proportional to 541,684.80, 812,656.80 and 225,979.20

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Solution

The fourth proportional to 541,684.80, 812,656.80 and 225,979.20 is: 339,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,684.80 : 812,656.80 = 225,979.20 : x
  2. Step 2: Convert to fraction form
    541,684.80/812,656.80 = 225,979.20/x
  3. Step 3: Cross multiply
    541,684.80x = 812,656.80 × 225,979.20
  4. Step 4: Simplify right side
    541,684.80x = 183,643,533,538.56
  5. Step 5: Solve for x
    x = 183,643,533,538.56/541,684.80
  6. Step 6: Final answer
    x = 339,022.87

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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.