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Finding the Fourth Proportional to 501,020.80, 691,414.40 and 286,189.44

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Solution

The fourth proportional to 501,020.80, 691,414.40 and 286,189.44 is: 394,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,020.80 : 691,414.40 = 286,189.44 : x
  2. Step 2: Convert to fraction form
    501,020.80/691,414.40 = 286,189.44/x
  3. Step 3: Cross multiply
    501,020.80x = 691,414.40 × 286,189.44
  4. Step 4: Simplify right side
    501,020.80x = 197,875,499,943.94
  5. Step 5: Solve for x
    x = 197,875,499,943.94/501,020.80
  6. Step 6: Final answer
    x = 394,944.68

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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.