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Finding the Fourth Proportional to 392,637.58, 589,021.98 and 140,063.68

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Solution

The fourth proportional to 392,637.58, 589,021.98 and 140,063.68 is: 210,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,637.58 : 589,021.98 = 140,063.68 : x
  2. Step 2: Convert to fraction form
    392,637.58/589,021.98 = 140,063.68/x
  3. Step 3: Cross multiply
    392,637.58x = 589,021.98 × 140,063.68
  4. Step 4: Simplify right side
    392,637.58x = 82,500,586,330.73
  5. Step 5: Solve for x
    x = 82,500,586,330.73/392,637.58
  6. Step 6: Final answer
    x = 210,118.93

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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.