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Finding the Fourth Proportional to 443,845.12, 665,762.16 and 422,328.70

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Solution

The fourth proportional to 443,845.12, 665,762.16 and 422,328.70 is: 633,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,845.12 : 665,762.16 = 422,328.70 : x
  2. Step 2: Convert to fraction form
    443,845.12/665,762.16 = 422,328.70/x
  3. Step 3: Cross multiply
    443,845.12x = 665,762.16 × 422,328.70
  4. Step 4: Simplify right side
    443,845.12x = 281,170,467,541.99
  5. Step 5: Solve for x
    x = 281,170,467,541.99/443,845.12
  6. Step 6: Final answer
    x = 633,487.80

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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.