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Finding the Fourth Proportional to 463,177, 639,201.54 and 261,968.68

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Solution

The fourth proportional to 463,177, 639,201.54 and 261,968.68 is: 361,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,177 : 639,201.54 = 261,968.68 : x
  2. Step 2: Convert to fraction form
    463,177/639,201.54 = 261,968.68/x
  3. Step 3: Cross multiply
    463,177x = 639,201.54 × 261,968.68
  4. Step 4: Simplify right side
    463,177x = 167,450,783,687.77
  5. Step 5: Solve for x
    x = 167,450,783,687.77/463,177
  6. Step 6: Final answer
    x = 361,526.55

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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.