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Finding the Fourth Proportional to 443,838.60, 665,369.10 and 266,416.20

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Solution

The fourth proportional to 443,838.60, 665,369.10 and 266,416.20 is: 399,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,838.60 : 665,369.10 = 266,416.20 : x
  2. Step 2: Convert to fraction form
    443,838.60/665,369.10 = 266,416.20/x
  3. Step 3: Cross multiply
    443,838.60x = 665,369.10 × 266,416.20
  4. Step 4: Simplify right side
    443,838.60x = 177,265,107,219.42
  5. Step 5: Solve for x
    x = 177,265,107,219.42/443,838.60
  6. Step 6: Final answer
    x = 399,390.92

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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.