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Finding the Fourth Proportional to 369,728.28, 510,224.67 and 199,962

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Solution

The fourth proportional to 369,728.28, 510,224.67 and 199,962 is: 275,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,728.28 : 510,224.67 = 199,962 : x
  2. Step 2: Convert to fraction form
    369,728.28/510,224.67 = 199,962/x
  3. Step 3: Cross multiply
    369,728.28x = 510,224.67 × 199,962
  4. Step 4: Simplify right side
    369,728.28x = 102,025,545,462.54
  5. Step 5: Solve for x
    x = 102,025,545,462.54/369,728.28
  6. Step 6: Final answer
    x = 275,947.37

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1.5x scale

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.