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Finding the Fourth Proportional to 917,698, 1,265,874.12 and 577,575.76

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Solution

The fourth proportional to 917,698, 1,265,874.12 and 577,575.76 is: 796,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,698 : 1,265,874.12 = 577,575.76 : x
  2. Step 2: Convert to fraction form
    917,698/1,265,874.12 = 577,575.76/x
  3. Step 3: Cross multiply
    917,698x = 1,265,874.12 × 577,575.76
  4. Step 4: Simplify right side
    917,698x = 731,138,206,923.33
  5. Step 5: Solve for x
    x = 731,138,206,923.33/917,698
  6. Step 6: Final answer
    x = 796,708.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.