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Finding the Fourth Proportional to 517,782.43, 776,655.22 and 180,821.76

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Solution

The fourth proportional to 517,782.43, 776,655.22 and 180,821.76 is: 271,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,782.43 : 776,655.22 = 180,821.76 : x
  2. Step 2: Convert to fraction form
    517,782.43/776,655.22 = 180,821.76/x
  3. Step 3: Cross multiply
    517,782.43x = 776,655.22 × 180,821.76
  4. Step 4: Simplify right side
    517,782.43x = 140,436,163,793.59
  5. Step 5: Solve for x
    x = 140,436,163,793.59/517,782.43
  6. Step 6: Final answer
    x = 271,226.21

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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.