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Finding the Fourth Proportional to 878,957, 1,212,926.97 and 496,991.78

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Solution

The fourth proportional to 878,957, 1,212,926.97 and 496,991.78 is: 685,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,957 : 1,212,926.97 = 496,991.78 : x
  2. Step 2: Convert to fraction form
    878,957/1,212,926.97 = 496,991.78/x
  3. Step 3: Cross multiply
    878,957x = 1,212,926.97 × 496,991.78
  4. Step 4: Simplify right side
    878,957x = 602,814,733,830.31
  5. Step 5: Solve for x
    x = 602,814,733,830.31/878,957
  6. Step 6: Final answer
    x = 685,829.61

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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.