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Finding the Fourth Proportional to 392,141, 588,298.98 and 142,823

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Solution

The fourth proportional to 392,141, 588,298.98 and 142,823 is: 214,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,141 : 588,298.98 = 142,823 : x
  2. Step 2: Convert to fraction form
    392,141/588,298.98 = 142,823/x
  3. Step 3: Cross multiply
    392,141x = 588,298.98 × 142,823
  4. Step 4: Simplify right side
    392,141x = 84,022,625,220.54
  5. Step 5: Solve for x
    x = 84,022,625,220.54/392,141
  6. Step 6: Final answer
    x = 214,266.36

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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.