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Finding the Fourth Proportional to 378,419.58, 567,420.06 and 150,484.38

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Solution

The fourth proportional to 378,419.58, 567,420.06 and 150,484.38 is: 225,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,419.58 : 567,420.06 = 150,484.38 : x
  2. Step 2: Convert to fraction form
    378,419.58/567,420.06 = 150,484.38/x
  3. Step 3: Cross multiply
    378,419.58x = 567,420.06 × 150,484.38
  4. Step 4: Simplify right side
    378,419.58x = 85,387,855,928.66
  5. Step 5: Solve for x
    x = 85,387,855,928.66/378,419.58
  6. Step 6: Final answer
    x = 225,643.33

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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.