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Finding the Fourth Proportional to 349,220, 481,900.92 and 205,947.20

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Solution

The fourth proportional to 349,220, 481,900.92 and 205,947.20 is: 284,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,220 : 481,900.92 = 205,947.20 : x
  2. Step 2: Convert to fraction form
    349,220/481,900.92 = 205,947.20/x
  3. Step 3: Cross multiply
    349,220x = 481,900.92 × 205,947.20
  4. Step 4: Simplify right side
    349,220x = 99,246,145,151.42
  5. Step 5: Solve for x
    x = 99,246,145,151.42/349,220
  6. Step 6: Final answer
    x = 284,193.76

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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.