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Finding the Fourth Proportional to 397,406.86, 548,410.70 and 225,356.38

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Solution

The fourth proportional to 397,406.86, 548,410.70 and 225,356.38 is: 310,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,406.86 : 548,410.70 = 225,356.38 : x
  2. Step 2: Convert to fraction form
    397,406.86/548,410.70 = 225,356.38/x
  3. Step 3: Cross multiply
    397,406.86x = 548,410.70 × 225,356.38
  4. Step 4: Simplify right side
    397,406.86x = 123,587,850,105.27
  5. Step 5: Solve for x
    x = 123,587,850,105.27/397,406.86
  6. Step 6: Final answer
    x = 310,985.70

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1.5x scale

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.