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Finding the Fourth Proportional to 403,978.35, 605,982.84 and 151,232.25

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Solution

The fourth proportional to 403,978.35, 605,982.84 and 151,232.25 is: 226,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,978.35 : 605,982.84 = 151,232.25 : x
  2. Step 2: Convert to fraction form
    403,978.35/605,982.84 = 151,232.25/x
  3. Step 3: Cross multiply
    403,978.35x = 605,982.84 × 151,232.25
  4. Step 4: Simplify right side
    403,978.35x = 91,644,148,354.59
  5. Step 5: Solve for x
    x = 91,644,148,354.59/403,978.35
  6. Step 6: Final answer
    x = 226,854.11

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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.