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Finding the Fourth Proportional to 392,139, 588,295.98 and 142,821

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Solution

The fourth proportional to 392,139, 588,295.98 and 142,821 is: 214,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,139 : 588,295.98 = 142,821 : x
  2. Step 2: Convert to fraction form
    392,139/588,295.98 = 142,821/x
  3. Step 3: Cross multiply
    392,139x = 588,295.98 × 142,821
  4. Step 4: Simplify right side
    392,139x = 84,021,020,159.58
  5. Step 5: Solve for x
    x = 84,021,020,159.58/392,139
  6. Step 6: Final answer
    x = 214,263.36

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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.