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Finding the Fourth Proportional to 213,994.46, 320,990.91 and 64,234.10

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Solution

The fourth proportional to 213,994.46, 320,990.91 and 64,234.10 is: 96,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,994.46 : 320,990.91 = 64,234.10 : x
  2. Step 2: Convert to fraction form
    213,994.46/320,990.91 = 64,234.10/x
  3. Step 3: Cross multiply
    213,994.46x = 320,990.91 × 64,234.10
  4. Step 4: Simplify right side
    213,994.46x = 20,618,560,607.08
  5. Step 5: Solve for x
    x = 20,618,560,607.08/213,994.46
  6. Step 6: Final answer
    x = 96,350.91

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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.