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Finding the Fourth Proportional to 213,424.90, 319,446.15 and 151,216.90

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Solution

The fourth proportional to 213,424.90, 319,446.15 and 151,216.90 is: 226,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,424.90 : 319,446.15 = 151,216.90 : x
  2. Step 2: Convert to fraction form
    213,424.90/319,446.15 = 151,216.90/x
  3. Step 3: Cross multiply
    213,424.90x = 319,446.15 × 151,216.90
  4. Step 4: Simplify right side
    213,424.90x = 48,305,656,519.94
  5. Step 5: Solve for x
    x = 48,305,656,519.94/213,424.90
  6. Step 6: Final answer
    x = 226,335.62

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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.