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Finding the Fourth Proportional to 393,643.46, 590,558.90 and 127,403.96

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Solution

The fourth proportional to 393,643.46, 590,558.90 and 127,403.96 is: 191,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,643.46 : 590,558.90 = 127,403.96 : x
  2. Step 2: Convert to fraction form
    393,643.46/590,558.90 = 127,403.96/x
  3. Step 3: Cross multiply
    393,643.46x = 590,558.90 × 127,403.96
  4. Step 4: Simplify right side
    393,643.46x = 75,239,538,883.43
  5. Step 5: Solve for x
    x = 75,239,538,883.43/393,643.46
  6. Step 6: Final answer
    x = 191,136.26

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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.