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Finding the Fourth Proportional to 285,283.35, 393,703.34 and 157,958.96

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Solution

The fourth proportional to 285,283.35, 393,703.34 and 157,958.96 is: 217,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,283.35 : 393,703.34 = 157,958.96 : x
  2. Step 2: Convert to fraction form
    285,283.35/393,703.34 = 157,958.96/x
  3. Step 3: Cross multiply
    285,283.35x = 393,703.34 × 157,958.96
  4. Step 4: Simplify right side
    285,283.35x = 62,188,967,376.61
  5. Step 5: Solve for x
    x = 62,188,967,376.61/285,283.35
  6. Step 6: Final answer
    x = 217,990.17

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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.