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Finding the Fourth Proportional to 392,658.88, 589,018.17 and 152,669.68

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Solution

The fourth proportional to 392,658.88, 589,018.17 and 152,669.68 is: 229,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,658.88 : 589,018.17 = 152,669.68 : x
  2. Step 2: Convert to fraction form
    392,658.88/589,018.17 = 152,669.68/x
  3. Step 3: Cross multiply
    392,658.88x = 589,018.17 × 152,669.68
  4. Step 4: Simplify right side
    392,658.88x = 89,925,212,691.84
  5. Step 5: Solve for x
    x = 89,925,212,691.84/392,658.88
  6. Step 6: Final answer
    x = 229,016.12

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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.