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Finding the Fourth Proportional to 225,355.60, 338,029.40 and 90,454

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Solution

The fourth proportional to 225,355.60, 338,029.40 and 90,454 is: 135,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,355.60 : 338,029.40 = 90,454 : x
  2. Step 2: Convert to fraction form
    225,355.60/338,029.40 = 90,454/x
  3. Step 3: Cross multiply
    225,355.60x = 338,029.40 × 90,454
  4. Step 4: Simplify right side
    225,355.60x = 30,576,111,347.60
  5. Step 5: Solve for x
    x = 30,576,111,347.60/225,355.60
  6. Step 6: Final answer
    x = 135,679.39

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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.