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Finding the Fourth Proportional to 270,329.94, 405,452.31 and 90,414

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Solution

The fourth proportional to 270,329.94, 405,452.31 and 90,414 is: 135,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,329.94 : 405,452.31 = 90,414 : x
  2. Step 2: Convert to fraction form
    270,329.94/405,452.31 = 90,414/x
  3. Step 3: Cross multiply
    270,329.94x = 405,452.31 × 90,414
  4. Step 4: Simplify right side
    270,329.94x = 36,658,565,156.34
  5. Step 5: Solve for x
    x = 36,658,565,156.34/270,329.94
  6. Step 6: Final answer
    x = 135,606.75

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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.