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Finding the Fourth Proportional to 285,298.62, 393,707.28 and 157,971.48

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Solution

The fourth proportional to 285,298.62, 393,707.28 and 157,971.48 is: 217,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298.62 : 393,707.28 = 157,971.48 : x
  2. Step 2: Convert to fraction form
    285,298.62/393,707.28 = 157,971.48/x
  3. Step 3: Cross multiply
    285,298.62x = 393,707.28 × 157,971.48
  4. Step 4: Simplify right side
    285,298.62x = 62,194,521,708.37
  5. Step 5: Solve for x
    x = 62,194,521,708.37/285,298.62
  6. Step 6: Final answer
    x = 217,997.98

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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.