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Finding the Fourth Proportional to 285,314.22, 393,728.78 and 157,987.08

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Solution

The fourth proportional to 285,314.22, 393,728.78 and 157,987.08 is: 218,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,314.22 : 393,728.78 = 157,987.08 : x
  2. Step 2: Convert to fraction form
    285,314.22/393,728.78 = 157,987.08/x
  3. Step 3: Cross multiply
    285,314.22x = 393,728.78 × 157,987.08
  4. Step 4: Simplify right side
    285,314.22x = 62,204,060,659.13
  5. Step 5: Solve for x
    x = 62,204,060,659.13/285,314.22
  6. Step 6: Final answer
    x = 218,019.49

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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.