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Finding the Fourth Proportional to 876,066, 1,208,970.51 and 494,091.90

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Solution

The fourth proportional to 876,066, 1,208,970.51 and 494,091.90 is: 681,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,066 : 1,208,970.51 = 494,091.90 : x
  2. Step 2: Convert to fraction form
    876,066/1,208,970.51 = 494,091.90/x
  3. Step 3: Cross multiply
    876,066x = 1,208,970.51 × 494,091.90
  4. Step 4: Simplify right side
    876,066x = 597,342,536,329.87
  5. Step 5: Solve for x
    x = 597,342,536,329.87/876,066
  6. Step 6: Final answer
    x = 681,846.50

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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.