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Finding the Fourth Proportional to 281,729.28, 422,590.72 and 68,498.40

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Solution

The fourth proportional to 281,729.28, 422,590.72 and 68,498.40 is: 102,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,729.28 : 422,590.72 = 68,498.40 : x
  2. Step 2: Convert to fraction form
    281,729.28/422,590.72 = 68,498.40/x
  3. Step 3: Cross multiply
    281,729.28x = 422,590.72 × 68,498.40
  4. Step 4: Simplify right side
    281,729.28x = 28,946,788,174.85
  5. Step 5: Solve for x
    x = 28,946,788,174.85/281,729.28
  6. Step 6: Final answer
    x = 102,746.82

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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.