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Finding the Fourth Proportional to 521,940.69, 782,719.00 and 180,297.17

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Solution

The fourth proportional to 521,940.69, 782,719.00 and 180,297.17 is: 270,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,940.69 : 782,719.00 = 180,297.17 : x
  2. Step 2: Convert to fraction form
    521,940.69/782,719.00 = 180,297.17/x
  3. Step 3: Cross multiply
    521,940.69x = 782,719.00 × 180,297.17
  4. Step 4: Simplify right side
    521,940.69x = 141,122,019,703.74
  5. Step 5: Solve for x
    x = 141,122,019,703.74/521,940.69
  6. Step 6: Final answer
    x = 270,379.42

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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.