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Finding the Fourth Proportional to 392,660.88, 589,021.17 and 152,671.68

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Solution

The fourth proportional to 392,660.88, 589,021.17 and 152,671.68 is: 229,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,660.88 : 589,021.17 = 152,671.68 : x
  2. Step 2: Convert to fraction form
    392,660.88/589,021.17 = 152,671.68/x
  3. Step 3: Cross multiply
    392,660.88x = 589,021.17 × 152,671.68
  4. Step 4: Simplify right side
    392,660.88x = 89,926,851,579.47
  5. Step 5: Solve for x
    x = 89,926,851,579.47/392,660.88
  6. Step 6: Final answer
    x = 229,019.13

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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.