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Finding the Fourth Proportional to 656,598.36, 905,951.46 and 398,469.48

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Solution

The fourth proportional to 656,598.36, 905,951.46 and 398,469.48 is: 549,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,598.36 : 905,951.46 = 398,469.48 : x
  2. Step 2: Convert to fraction form
    656,598.36/905,951.46 = 398,469.48/x
  3. Step 3: Cross multiply
    656,598.36x = 905,951.46 × 398,469.48
  4. Step 4: Simplify right side
    656,598.36x = 360,994,007,171.44
  5. Step 5: Solve for x
    x = 360,994,007,171.44/656,598.36
  6. Step 6: Final answer
    x = 549,794.26

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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.