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Finding the Fourth Proportional to 516,288.30, 774,820.22 and 263,780.02

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Solution

The fourth proportional to 516,288.30, 774,820.22 and 263,780.02 is: 395,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,288.30 : 774,820.22 = 263,780.02 : x
  2. Step 2: Convert to fraction form
    516,288.30/774,820.22 = 263,780.02/x
  3. Step 3: Cross multiply
    516,288.30x = 774,820.22 × 263,780.02
  4. Step 4: Simplify right side
    516,288.30x = 204,382,088,419.27
  5. Step 5: Solve for x
    x = 204,382,088,419.27/516,288.30
  6. Step 6: Final answer
    x = 395,868.14

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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.