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Finding the Fourth Proportional to 397,278.64, 595,730.44 and 144,382.96

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Solution

The fourth proportional to 397,278.64, 595,730.44 and 144,382.96 is: 216,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,278.64 : 595,730.44 = 144,382.96 : x
  2. Step 2: Convert to fraction form
    397,278.64/595,730.44 = 144,382.96/x
  3. Step 3: Cross multiply
    397,278.64x = 595,730.44 × 144,382.96
  4. Step 4: Simplify right side
    397,278.64x = 86,013,324,289.30
  5. Step 5: Solve for x
    x = 86,013,324,289.30/397,278.64
  6. Step 6: Final answer
    x = 216,506.29

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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.