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Finding the Fourth Proportional to 285,298, 393,706.43 and 157,970.86

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Solution

The fourth proportional to 285,298, 393,706.43 and 157,970.86 is: 217,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298 : 393,706.43 = 157,970.86 : x
  2. Step 2: Convert to fraction form
    285,298/393,706.43 = 157,970.86/x
  3. Step 3: Cross multiply
    285,298x = 393,706.43 × 157,970.86
  4. Step 4: Simplify right side
    285,298x = 62,194,142,544.78
  5. Step 5: Solve for x
    x = 62,194,142,544.78/285,298
  6. Step 6: Final answer
    x = 217,997.12

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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.