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Finding the Fourth Proportional to 285,477.80, 393,927.58 and 158,121.50

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Solution

The fourth proportional to 285,477.80, 393,927.58 and 158,121.50 is: 218,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,477.80 : 393,927.58 = 158,121.50 : x
  2. Step 2: Convert to fraction form
    285,477.80/393,927.58 = 158,121.50/x
  3. Step 3: Cross multiply
    285,477.80x = 393,927.58 × 158,121.50
  4. Step 4: Simplify right side
    285,477.80x = 62,288,419,840.97
  5. Step 5: Solve for x
    x = 62,288,419,840.97/285,477.80
  6. Step 6: Final answer
    x = 218,190.07

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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.