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Finding the Fourth Proportional to 329,875.86, 454,928.13 and 278,995.26

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Solution

The fourth proportional to 329,875.86, 454,928.13 and 278,995.26 is: 384,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,875.86 : 454,928.13 = 278,995.26 : x
  2. Step 2: Convert to fraction form
    329,875.86/454,928.13 = 278,995.26/x
  3. Step 3: Cross multiply
    329,875.86x = 454,928.13 × 278,995.26
  4. Step 4: Simplify right side
    329,875.86x = 126,922,791,910.66
  5. Step 5: Solve for x
    x = 126,922,791,910.66/329,875.86
  6. Step 6: Final answer
    x = 384,759.26

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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.