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Finding the Fourth Proportional to 422,477, 583,018.26 and 231,497.66

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Solution

The fourth proportional to 422,477, 583,018.26 and 231,497.66 is: 319,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,477 : 583,018.26 = 231,497.66 : x
  2. Step 2: Convert to fraction form
    422,477/583,018.26 = 231,497.66/x
  3. Step 3: Cross multiply
    422,477x = 583,018.26 × 231,497.66
  4. Step 4: Simplify right side
    422,477x = 134,967,362,927.27
  5. Step 5: Solve for x
    x = 134,967,362,927.27/422,477
  6. Step 6: Final answer
    x = 319,466.77

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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.