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Finding the Fourth Proportional to 409,268.76, 564,878.01 and 275,055

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Solution

The fourth proportional to 409,268.76, 564,878.01 and 275,055 is: 379,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,268.76 : 564,878.01 = 275,055 : x
  2. Step 2: Convert to fraction form
    409,268.76/564,878.01 = 275,055/x
  3. Step 3: Cross multiply
    409,268.76x = 564,878.01 × 275,055
  4. Step 4: Simplify right side
    409,268.76x = 155,372,521,040.55
  5. Step 5: Solve for x
    x = 155,372,521,040.55/409,268.76
  6. Step 6: Final answer
    x = 379,634.45

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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.