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Finding the Fourth Proportional to 517,799.28, 776,439.17 and 301,728

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Solution

The fourth proportional to 517,799.28, 776,439.17 and 301,728 is: 452,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,799.28 : 776,439.17 = 301,728 : x
  2. Step 2: Convert to fraction form
    517,799.28/776,439.17 = 301,728/x
  3. Step 3: Cross multiply
    517,799.28x = 776,439.17 × 301,728
  4. Step 4: Simplify right side
    517,799.28x = 234,273,436,377.12
  5. Step 5: Solve for x
    x = 234,273,436,377.12/517,799.28
  6. Step 6: Final answer
    x = 452,440.64

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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.