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Finding the Fourth Proportional to 378,155.79, 521,848.29 and 206,075.29

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Solution

The fourth proportional to 378,155.79, 521,848.29 and 206,075.29 is: 284,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,155.79 : 521,848.29 = 206,075.29 : x
  2. Step 2: Convert to fraction form
    378,155.79/521,848.29 = 206,075.29/x
  3. Step 3: Cross multiply
    378,155.79x = 521,848.29 × 206,075.29
  4. Step 4: Simplify right side
    378,155.79x = 107,540,037,697.75
  5. Step 5: Solve for x
    x = 107,540,037,697.75/378,155.79
  6. Step 6: Final answer
    x = 284,380.25

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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.