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Finding the Fourth Proportional to 661,566.96, 992,678.40 and 262,198.80

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Solution

The fourth proportional to 661,566.96, 992,678.40 and 262,198.80 is: 393,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,566.96 : 992,678.40 = 262,198.80 : x
  2. Step 2: Convert to fraction form
    661,566.96/992,678.40 = 262,198.80/x
  3. Step 3: Cross multiply
    661,566.96x = 992,678.40 × 262,198.80
  4. Step 4: Simplify right side
    661,566.96x = 260,279,085,265.92
  5. Step 5: Solve for x
    x = 260,279,085,265.92/661,566.96
  6. Step 6: Final answer
    x = 393,428.18

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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.