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Finding the Fourth Proportional to 422,477, 583,018.28 and 231,497.64

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Solution

The fourth proportional to 422,477, 583,018.28 and 231,497.64 is: 319,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,477 : 583,018.28 = 231,497.64 : x
  2. Step 2: Convert to fraction form
    422,477/583,018.28 = 231,497.64/x
  3. Step 3: Cross multiply
    422,477x = 583,018.28 × 231,497.64
  4. Step 4: Simplify right side
    422,477x = 134,967,355,896.86
  5. Step 5: Solve for x
    x = 134,967,355,896.86/422,477
  6. Step 6: Final answer
    x = 319,466.75

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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.