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Finding the Fourth Proportional to 422,971.56, 634,457.34 and 212,461.92

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Solution

The fourth proportional to 422,971.56, 634,457.34 and 212,461.92 is: 318,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,971.56 : 634,457.34 = 212,461.92 : x
  2. Step 2: Convert to fraction form
    422,971.56/634,457.34 = 212,461.92/x
  3. Step 3: Cross multiply
    422,971.56x = 634,457.34 × 212,461.92
  4. Step 4: Simplify right side
    422,971.56x = 134,798,024,614.49
  5. Step 5: Solve for x
    x = 134,798,024,614.49/422,971.56
  6. Step 6: Final answer
    x = 318,692.88

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1.5x scale

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.