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Finding the Fourth Proportional to 392,218.66, 588,133.54 and 139,461.18

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Solution

The fourth proportional to 392,218.66, 588,133.54 and 139,461.18 is: 209,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,218.66 : 588,133.54 = 139,461.18 : x
  2. Step 2: Convert to fraction form
    392,218.66/588,133.54 = 139,461.18/x
  3. Step 3: Cross multiply
    392,218.66x = 588,133.54 × 139,461.18
  4. Step 4: Simplify right side
    392,218.66x = 82,021,797,485.98
  5. Step 5: Solve for x
    x = 82,021,797,485.98/392,218.66
  6. Step 6: Final answer
    x = 209,122.63

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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.