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Finding the Fourth Proportional to 268,698.80, 370,957.92 and 178,177.76

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Solution

The fourth proportional to 268,698.80, 370,957.92 and 178,177.76 is: 245,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,698.80 : 370,957.92 = 178,177.76 : x
  2. Step 2: Convert to fraction form
    268,698.80/370,957.92 = 178,177.76/x
  3. Step 3: Cross multiply
    268,698.80x = 370,957.92 × 178,177.76
  4. Step 4: Simplify right side
    268,698.80x = 66,096,451,239.86
  5. Step 5: Solve for x
    x = 66,096,451,239.86/268,698.80
  6. Step 6: Final answer
    x = 245,987.15

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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.