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Finding the Fourth Proportional to 261,682.88, 361,121.34 and 146,945.56

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Solution

The fourth proportional to 261,682.88, 361,121.34 and 146,945.56 is: 202,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,682.88 : 361,121.34 = 146,945.56 : x
  2. Step 2: Convert to fraction form
    261,682.88/361,121.34 = 146,945.56/x
  3. Step 3: Cross multiply
    261,682.88x = 361,121.34 × 146,945.56
  4. Step 4: Simplify right side
    261,682.88x = 53,065,177,534.25
  5. Step 5: Solve for x
    x = 53,065,177,534.25/261,682.88
  6. Step 6: Final answer
    x = 202,784.29

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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.