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Finding the Fourth Proportional to 393,693.66, 590,549.60 and 140,991.48

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Solution

The fourth proportional to 393,693.66, 590,549.60 and 140,991.48 is: 211,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,693.66 : 590,549.60 = 140,991.48 : x
  2. Step 2: Convert to fraction form
    393,693.66/590,549.60 = 140,991.48/x
  3. Step 3: Cross multiply
    393,693.66x = 590,549.60 × 140,991.48
  4. Step 4: Simplify right side
    393,693.66x = 83,262,462,469.89
  5. Step 5: Solve for x
    x = 83,262,462,469.89/393,693.66
  6. Step 6: Final answer
    x = 211,490.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.