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Finding the Fourth Proportional to 376,428.80, 564,144.78 and 276,119.32

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Solution

The fourth proportional to 376,428.80, 564,144.78 and 276,119.32 is: 413,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,428.80 : 564,144.78 = 276,119.32 : x
  2. Step 2: Convert to fraction form
    376,428.80/564,144.78 = 276,119.32/x
  3. Step 3: Cross multiply
    376,428.80x = 564,144.78 × 276,119.32
  4. Step 4: Simplify right side
    376,428.80x = 155,771,273,035.15
  5. Step 5: Solve for x
    x = 155,771,273,035.15/376,428.80
  6. Step 6: Final answer
    x = 413,813.38

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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.