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Finding the Fourth Proportional to 516,734.64, 774,421.56 and 276,820.74

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Solution

The fourth proportional to 516,734.64, 774,421.56 and 276,820.74 is: 414,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,734.64 : 774,421.56 = 276,820.74 : x
  2. Step 2: Convert to fraction form
    516,734.64/774,421.56 = 276,820.74/x
  3. Step 3: Cross multiply
    516,734.64x = 774,421.56 × 276,820.74
  4. Step 4: Simplify right side
    516,734.64x = 214,375,949,311.15
  5. Step 5: Solve for x
    x = 214,375,949,311.15/516,734.64
  6. Step 6: Final answer
    x = 414,866.61

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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.