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Finding the Fourth Proportional to 661,416, 992,124 and 162,780

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Solution

The fourth proportional to 661,416, 992,124 and 162,780 is: 244,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,416 : 992,124 = 162,780 : x
  2. Step 2: Convert to fraction form
    661,416/992,124 = 162,780/x
  3. Step 3: Cross multiply
    661,416x = 992,124 × 162,780
  4. Step 4: Simplify right side
    661,416x = 161,497,944,720
  5. Step 5: Solve for x
    x = 161,497,944,720/661,416
  6. Step 6: Final answer
    x = 244,170

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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.