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Finding the Fourth Proportional to 378,202.40, 566,720.40 and 328,047.20

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Solution

The fourth proportional to 378,202.40, 566,720.40 and 328,047.20 is: 491,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,202.40 : 566,720.40 = 328,047.20 : x
  2. Step 2: Convert to fraction form
    378,202.40/566,720.40 = 328,047.20/x
  3. Step 3: Cross multiply
    378,202.40x = 566,720.40 × 328,047.20
  4. Step 4: Simplify right side
    378,202.40x = 185,911,040,402.88
  5. Step 5: Solve for x
    x = 185,911,040,402.88/378,202.40
  6. Step 6: Final answer
    x = 491,564.94

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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.