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Finding the Fourth Proportional to 255,906.52, 352,968.10 and 221,854.12

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Solution

The fourth proportional to 255,906.52, 352,968.10 and 221,854.12 is: 306,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.52 : 352,968.10 = 221,854.12 : x
  2. Step 2: Convert to fraction form
    255,906.52/352,968.10 = 221,854.12/x
  3. Step 3: Cross multiply
    255,906.52x = 352,968.10 × 221,854.12
  4. Step 4: Simplify right side
    255,906.52x = 78,307,427,213.57
  5. Step 5: Solve for x
    x = 78,307,427,213.57/255,906.52
  6. Step 6: Final answer
    x = 306,000.13

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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.