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Finding the Fourth Proportional to 285,409.50, 393,865.14 and 158,093.28

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Solution

The fourth proportional to 285,409.50, 393,865.14 and 158,093.28 is: 218,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,409.50 : 393,865.14 = 158,093.28 : x
  2. Step 2: Convert to fraction form
    285,409.50/393,865.14 = 158,093.28/x
  3. Step 3: Cross multiply
    285,409.50x = 393,865.14 × 158,093.28
  4. Step 4: Simplify right side
    285,409.50x = 62,267,431,860.26
  5. Step 5: Solve for x
    x = 62,267,431,860.26/285,409.50
  6. Step 6: Final answer
    x = 218,168.74

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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.