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Finding the Fourth Proportional to 512,811.76, 769,350.66 and 272,728.24

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Solution

The fourth proportional to 512,811.76, 769,350.66 and 272,728.24 is: 409,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,811.76 : 769,350.66 = 272,728.24 : x
  2. Step 2: Convert to fraction form
    512,811.76/769,350.66 = 272,728.24/x
  3. Step 3: Cross multiply
    512,811.76x = 769,350.66 × 272,728.24
  4. Step 4: Simplify right side
    512,811.76x = 209,823,651,444.64
  5. Step 5: Solve for x
    x = 209,823,651,444.64/512,811.76
  6. Step 6: Final answer
    x = 409,163.10

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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.