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Finding the Fourth Proportional to 329,321.46, 454,296.42 and 208,258.86

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Solution

The fourth proportional to 329,321.46, 454,296.42 and 208,258.86 is: 287,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,321.46 : 454,296.42 = 208,258.86 : x
  2. Step 2: Convert to fraction form
    329,321.46/454,296.42 = 208,258.86/x
  3. Step 3: Cross multiply
    329,321.46x = 454,296.42 × 208,258.86
  4. Step 4: Simplify right side
    329,321.46x = 94,611,254,531.28
  5. Step 5: Solve for x
    x = 94,611,254,531.28/329,321.46
  6. Step 6: Final answer
    x = 287,291.49

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1.5x scale

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.