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Finding the Fourth Proportional to 285,478.56, 393,974.47 and 158,154.66

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Solution

The fourth proportional to 285,478.56, 393,974.47 and 158,154.66 is: 218,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,478.56 : 393,974.47 = 158,154.66 : x
  2. Step 2: Convert to fraction form
    285,478.56/393,974.47 = 158,154.66/x
  3. Step 3: Cross multiply
    285,478.56x = 393,974.47 × 158,154.66
  4. Step 4: Simplify right side
    285,478.56x = 62,308,898,351.53
  5. Step 5: Solve for x
    x = 62,308,898,351.53/285,478.56
  6. Step 6: Final answer
    x = 218,261.22

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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.