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Finding the Fourth Proportional to 329,448.51, 454,862.12 and 208,696.95

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Solution

The fourth proportional to 329,448.51, 454,862.12 and 208,696.95 is: 288,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,448.51 : 454,862.12 = 208,696.95 : x
  2. Step 2: Convert to fraction form
    329,448.51/454,862.12 = 208,696.95/x
  3. Step 3: Cross multiply
    329,448.51x = 454,862.12 × 208,696.95
  4. Step 4: Simplify right side
    329,448.51x = 94,928,336,071.05
  5. Step 5: Solve for x
    x = 94,928,336,071.05/329,448.51
  6. Step 6: Final answer
    x = 288,143.16

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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.