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Finding the Fourth Proportional to 443,958.40, 665,986.20 and 429,961.60

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Solution

The fourth proportional to 443,958.40, 665,986.20 and 429,961.60 is: 644,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,958.40 : 665,986.20 = 429,961.60 : x
  2. Step 2: Convert to fraction form
    443,958.40/665,986.20 = 429,961.60/x
  3. Step 3: Cross multiply
    443,958.40x = 665,986.20 × 429,961.60
  4. Step 4: Simplify right side
    443,958.40x = 286,348,492,129.92
  5. Step 5: Solve for x
    x = 286,348,492,129.92/443,958.40
  6. Step 6: Final answer
    x = 644,989.47

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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.