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Finding the Fourth Proportional to 329,449.51, 454,863.50 and 208,697.95

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Solution

The fourth proportional to 329,449.51, 454,863.50 and 208,697.95 is: 288,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,449.51 : 454,863.50 = 208,697.95 : x
  2. Step 2: Convert to fraction form
    329,449.51/454,863.50 = 208,697.95/x
  3. Step 3: Cross multiply
    329,449.51x = 454,863.50 × 208,697.95
  4. Step 4: Simplify right side
    329,449.51x = 94,929,079,979.83
  5. Step 5: Solve for x
    x = 94,929,079,979.83/329,449.51
  6. Step 6: Final answer
    x = 288,144.55

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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.