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Finding the Fourth Proportional to 213,633.78, 320,451.75 and 55,862.58

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Solution

The fourth proportional to 213,633.78, 320,451.75 and 55,862.58 is: 83,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,633.78 : 320,451.75 = 55,862.58 : x
  2. Step 2: Convert to fraction form
    213,633.78/320,451.75 = 55,862.58/x
  3. Step 3: Cross multiply
    213,633.78x = 320,451.75 × 55,862.58
  4. Step 4: Simplify right side
    213,633.78x = 17,901,261,520.52
  5. Step 5: Solve for x
    x = 17,901,261,520.52/213,633.78
  6. Step 6: Final answer
    x = 83,794.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.