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Finding the Fourth Proportional to 517,551.75, 776,425.68 and 180,688.59

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Solution

The fourth proportional to 517,551.75, 776,425.68 and 180,688.59 is: 271,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,551.75 : 776,425.68 = 180,688.59 : x
  2. Step 2: Convert to fraction form
    517,551.75/776,425.68 = 180,688.59/x
  3. Step 3: Cross multiply
    517,551.75x = 776,425.68 × 180,688.59
  4. Step 4: Simplify right side
    517,551.75x = 140,291,261,358.99
  5. Step 5: Solve for x
    x = 140,291,261,358.99/517,551.75
  6. Step 6: Final answer
    x = 271,067.12

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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.