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Finding the Fourth Proportional to 285,311.60, 393,729.72 and 157,987.19

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Solution

The fourth proportional to 285,311.60, 393,729.72 and 157,987.19 is: 218,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.60 : 393,729.72 = 157,987.19 : x
  2. Step 2: Convert to fraction form
    285,311.60/393,729.72 = 157,987.19/x
  3. Step 3: Cross multiply
    285,311.60x = 393,729.72 × 157,987.19
  4. Step 4: Simplify right side
    285,311.60x = 62,204,250,113.64
  5. Step 5: Solve for x
    x = 62,204,250,113.64/285,311.60
  6. Step 6: Final answer
    x = 218,022.16

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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.