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Finding the Fourth Proportional to 285,311.74, 393,730.17 and 157,987.33

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Solution

The fourth proportional to 285,311.74, 393,730.17 and 157,987.33 is: 218,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.74 : 393,730.17 = 157,987.33 : x
  2. Step 2: Convert to fraction form
    285,311.74/393,730.17 = 157,987.33/x
  3. Step 3: Cross multiply
    285,311.74x = 393,730.17 × 157,987.33
  4. Step 4: Simplify right side
    285,311.74x = 62,204,378,298.75
  5. Step 5: Solve for x
    x = 62,204,378,298.75/285,311.74
  6. Step 6: Final answer
    x = 218,022.50

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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.