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Finding the Fourth Proportional to 470,728.67, 649,591.85 and 255,863.21

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Solution

The fourth proportional to 470,728.67, 649,591.85 and 255,863.21 is: 353,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,728.67 : 649,591.85 = 255,863.21 : x
  2. Step 2: Convert to fraction form
    470,728.67/649,591.85 = 255,863.21/x
  3. Step 3: Cross multiply
    470,728.67x = 649,591.85 × 255,863.21
  4. Step 4: Simplify right side
    470,728.67x = 166,206,653,322.54
  5. Step 5: Solve for x
    x = 166,206,653,322.54/470,728.67
  6. Step 6: Final answer
    x = 353,083.77

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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.