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Finding the Fourth Proportional to 285,967.54, 394,635.67 and 158,643.13

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Solution

The fourth proportional to 285,967.54, 394,635.67 and 158,643.13 is: 218,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,967.54 : 394,635.67 = 158,643.13 : x
  2. Step 2: Convert to fraction form
    285,967.54/394,635.67 = 158,643.13/x
  3. Step 3: Cross multiply
    285,967.54x = 394,635.67 × 158,643.13
  4. Step 4: Simplify right side
    285,967.54x = 62,606,237,898.45
  5. Step 5: Solve for x
    x = 62,606,237,898.45/285,967.54
  6. Step 6: Final answer
    x = 218,927.78

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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.