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Finding the Fourth Proportional to 378,155.88, 521,848.44 and 206,075.40

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Solution

The fourth proportional to 378,155.88, 521,848.44 and 206,075.40 is: 284,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,155.88 : 521,848.44 = 206,075.40 : x
  2. Step 2: Convert to fraction form
    378,155.88/521,848.44 = 206,075.40/x
  3. Step 3: Cross multiply
    378,155.88x = 521,848.44 × 206,075.40
  4. Step 4: Simplify right side
    378,155.88x = 107,540,126,012.38
  5. Step 5: Solve for x
    x = 107,540,126,012.38/378,155.88
  6. Step 6: Final answer
    x = 284,380.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.