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Finding the Fourth Proportional to 494,130, 741,129.48 and 139,171.92

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Solution

The fourth proportional to 494,130, 741,129.48 and 139,171.92 is: 208,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,130 : 741,129.48 = 139,171.92 : x
  2. Step 2: Convert to fraction form
    494,130/741,129.48 = 139,171.92/x
  3. Step 3: Cross multiply
    494,130x = 741,129.48 × 139,171.92
  4. Step 4: Simplify right side
    494,130x = 103,144,412,700.20
  5. Step 5: Solve for x
    x = 103,144,412,700.20/494,130
  6. Step 6: Final answer
    x = 208,739.43

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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.