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Finding the Fourth Proportional to 661,407, 992,110.50 and 162,771

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Solution

The fourth proportional to 661,407, 992,110.50 and 162,771 is: 244,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,407 : 992,110.50 = 162,771 : x
  2. Step 2: Convert to fraction form
    661,407/992,110.50 = 162,771/x
  3. Step 3: Cross multiply
    661,407x = 992,110.50 × 162,771
  4. Step 4: Simplify right side
    661,407x = 161,486,818,195.50
  5. Step 5: Solve for x
    x = 161,486,818,195.50/661,407
  6. Step 6: Final answer
    x = 244,156.50

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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.