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Finding the Fourth Proportional to 285,067.20, 427,748.48 and 206,827.20

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Solution

The fourth proportional to 285,067.20, 427,748.48 and 206,827.20 is: 310,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,067.20 : 427,748.48 = 206,827.20 : x
  2. Step 2: Convert to fraction form
    285,067.20/427,748.48 = 206,827.20/x
  3. Step 3: Cross multiply
    285,067.20x = 427,748.48 × 206,827.20
  4. Step 4: Simplify right side
    285,067.20x = 88,470,020,422.66
  5. Step 5: Solve for x
    x = 88,470,020,422.66/285,067.20
  6. Step 6: Final answer
    x = 310,347.95

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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.