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Finding the Fourth Proportional to 393,296.76, 542,768.76 and 221,218.20

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Solution

The fourth proportional to 393,296.76, 542,768.76 and 221,218.20 is: 305,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,296.76 : 542,768.76 = 221,218.20 : x
  2. Step 2: Convert to fraction form
    393,296.76/542,768.76 = 221,218.20/x
  3. Step 3: Cross multiply
    393,296.76x = 542,768.76 × 221,218.20
  4. Step 4: Simplify right side
    393,296.76x = 120,070,328,103.43
  5. Step 5: Solve for x
    x = 120,070,328,103.43/393,296.76
  6. Step 6: Final answer
    x = 305,291.93

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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.