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Finding the Fourth Proportional to 398,067.76, 597,277.43 and 308,885.32

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Solution

The fourth proportional to 398,067.76, 597,277.43 and 308,885.32 is: 463,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,067.76 : 597,277.43 = 308,885.32 : x
  2. Step 2: Convert to fraction form
    398,067.76/597,277.43 = 308,885.32/x
  3. Step 3: Cross multiply
    398,067.76x = 597,277.43 × 308,885.32
  4. Step 4: Simplify right side
    398,067.76x = 184,490,226,758.54
  5. Step 5: Solve for x
    x = 184,490,226,758.54/398,067.76
  6. Step 6: Final answer
    x = 463,464.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.