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Finding the Fourth Proportional to 285,314.83, 393,734.22 and 157,990.42

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Solution

The fourth proportional to 285,314.83, 393,734.22 and 157,990.42 is: 218,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,314.83 : 393,734.22 = 157,990.42 : x
  2. Step 2: Convert to fraction form
    285,314.83/393,734.22 = 157,990.42/x
  3. Step 3: Cross multiply
    285,314.83x = 393,734.22 × 157,990.42
  4. Step 4: Simplify right side
    285,314.83x = 62,206,234,786.17
  5. Step 5: Solve for x
    x = 62,206,234,786.17/285,314.83
  6. Step 6: Final answer
    x = 218,026.64

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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.