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Finding the Fourth Proportional to 383,995.80, 529,943.94 and 211,947.48

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Solution

The fourth proportional to 383,995.80, 529,943.94 and 211,947.48 is: 292,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,995.80 : 529,943.94 = 211,947.48 : x
  2. Step 2: Convert to fraction form
    383,995.80/529,943.94 = 211,947.48/x
  3. Step 3: Cross multiply
    383,995.80x = 529,943.94 × 211,947.48
  4. Step 4: Simplify right side
    383,995.80x = 112,320,282,624.27
  5. Step 5: Solve for x
    x = 112,320,282,624.27/383,995.80
  6. Step 6: Final answer
    x = 292,503.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.