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Finding the Fourth Proportional to 517,529, 776,293.50 and 143,552

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Solution

The fourth proportional to 517,529, 776,293.50 and 143,552 is: 215,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,529 : 776,293.50 = 143,552 : x
  2. Step 2: Convert to fraction form
    517,529/776,293.50 = 143,552/x
  3. Step 3: Cross multiply
    517,529x = 776,293.50 × 143,552
  4. Step 4: Simplify right side
    517,529x = 111,438,484,512
  5. Step 5: Solve for x
    x = 111,438,484,512/517,529
  6. Step 6: Final answer
    x = 215,328

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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.