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Finding the Fourth Proportional to 285,298.44, 393,707.03 and 157,971.30

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Solution

The fourth proportional to 285,298.44, 393,707.03 and 157,971.30 is: 217,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298.44 : 393,707.03 = 157,971.30 : x
  2. Step 2: Convert to fraction form
    285,298.44/393,707.03 = 157,971.30/x
  3. Step 3: Cross multiply
    285,298.44x = 393,707.03 × 157,971.30
  4. Step 4: Simplify right side
    285,298.44x = 62,194,410,558.38
  5. Step 5: Solve for x
    x = 62,194,410,558.38/285,298.44
  6. Step 6: Final answer
    x = 217,997.72

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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.