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Finding the Fourth Proportional to 268,086.40, 370,102.90 and 206,698.52

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Solution

The fourth proportional to 268,086.40, 370,102.90 and 206,698.52 is: 285,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,086.40 : 370,102.90 = 206,698.52 : x
  2. Step 2: Convert to fraction form
    268,086.40/370,102.90 = 206,698.52/x
  3. Step 3: Cross multiply
    268,086.40x = 370,102.90 × 206,698.52
  4. Step 4: Simplify right side
    268,086.40x = 76,499,721,677.71
  5. Step 5: Solve for x
    x = 76,499,721,677.71/268,086.40
  6. Step 6: Final answer
    x = 285,354.73

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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.