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Finding the Fourth Proportional to 422,549.21, 583,122.50 and 231,558.50

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Solution

The fourth proportional to 422,549.21, 583,122.50 and 231,558.50 is: 319,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,549.21 : 583,122.50 = 231,558.50 : x
  2. Step 2: Convert to fraction form
    422,549.21/583,122.50 = 231,558.50/x
  3. Step 3: Cross multiply
    422,549.21x = 583,122.50 × 231,558.50
  4. Step 4: Simplify right side
    422,549.21x = 135,026,971,416.25
  5. Step 5: Solve for x
    x = 135,026,971,416.25/422,549.21
  6. Step 6: Final answer
    x = 319,553.25

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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.