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Finding the Fourth Proportional to 404,525.80, 606,296.70 and 286,231.24

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Solution

The fourth proportional to 404,525.80, 606,296.70 and 286,231.24 is: 428,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,525.80 : 606,296.70 = 286,231.24 : x
  2. Step 2: Convert to fraction form
    404,525.80/606,296.70 = 286,231.24/x
  3. Step 3: Cross multiply
    404,525.80x = 606,296.70 × 286,231.24
  4. Step 4: Simplify right side
    404,525.80x = 173,541,056,248.91
  5. Step 5: Solve for x
    x = 173,541,056,248.91/404,525.80
  6. Step 6: Final answer
    x = 428,998.73

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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.