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Finding the Fourth Proportional to 661,689, 992,198.16 and 282,550.68

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Solution

The fourth proportional to 661,689, 992,198.16 and 282,550.68 is: 423,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,689 : 992,198.16 = 282,550.68 : x
  2. Step 2: Convert to fraction form
    661,689/992,198.16 = 282,550.68/x
  3. Step 3: Cross multiply
    661,689x = 992,198.16 × 282,550.68
  4. Step 4: Simplify right side
    661,689x = 280,346,264,802.75
  5. Step 5: Solve for x
    x = 280,346,264,802.75/661,689
  6. Step 6: Final answer
    x = 423,682.83

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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.