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Finding the Fourth Proportional to 329,428.27, 454,659.77 and 208,580.77

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Solution

The fourth proportional to 329,428.27, 454,659.77 and 208,580.77 is: 287,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,428.27 : 454,659.77 = 208,580.77 : x
  2. Step 2: Convert to fraction form
    329,428.27/454,659.77 = 208,580.77/x
  3. Step 3: Cross multiply
    329,428.27x = 454,659.77 × 208,580.77
  4. Step 4: Simplify right side
    329,428.27x = 94,833,281,598.42
  5. Step 5: Solve for x
    x = 94,833,281,598.42/329,428.27
  6. Step 6: Final answer
    x = 287,872.33

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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.