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Finding the Fourth Proportional to 422,000.47, 582,362.22 and 231,031.63

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Solution

The fourth proportional to 422,000.47, 582,362.22 and 231,031.63 is: 318,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,000.47 : 582,362.22 = 231,031.63 : x
  2. Step 2: Convert to fraction form
    422,000.47/582,362.22 = 231,031.63/x
  3. Step 3: Cross multiply
    422,000.47x = 582,362.22 × 231,031.63
  4. Step 4: Simplify right side
    422,000.47x = 134,544,092,937.02
  5. Step 5: Solve for x
    x = 134,544,092,937.02/422,000.47
  6. Step 6: Final answer
    x = 318,824.51

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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.