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Finding the Fourth Proportional to 685,830.44, 946,908.12 and 428,099.78

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Solution

The fourth proportional to 685,830.44, 946,908.12 and 428,099.78 is: 591,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,830.44 : 946,908.12 = 428,099.78 : x
  2. Step 2: Convert to fraction form
    685,830.44/946,908.12 = 428,099.78/x
  3. Step 3: Cross multiply
    685,830.44x = 946,908.12 × 428,099.78
  4. Step 4: Simplify right side
    685,830.44x = 405,371,161,824.86
  5. Step 5: Solve for x
    x = 405,371,161,824.86/685,830.44
  6. Step 6: Final answer
    x = 591,066.15

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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.