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Finding the Fourth Proportional to 663,047.28, 994,864.95 and 347,429.16

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Solution

The fourth proportional to 663,047.28, 994,864.95 and 347,429.16 is: 521,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,047.28 : 994,864.95 = 347,429.16 : x
  2. Step 2: Convert to fraction form
    663,047.28/994,864.95 = 347,429.16/x
  3. Step 3: Cross multiply
    663,047.28x = 994,864.95 × 347,429.16
  4. Step 4: Simplify right side
    663,047.28x = 345,645,093,891.94
  5. Step 5: Solve for x
    x = 345,645,093,891.94/663,047.28
  6. Step 6: Final answer
    x = 521,297.81

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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.