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Finding the Fourth Proportional to 443,513.40, 665,270.10 and 276,098.55

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Solution

The fourth proportional to 443,513.40, 665,270.10 and 276,098.55 is: 414,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,513.40 : 665,270.10 = 276,098.55 : x
  2. Step 2: Convert to fraction form
    443,513.40/665,270.10 = 276,098.55/x
  3. Step 3: Cross multiply
    443,513.40x = 665,270.10 × 276,098.55
  4. Step 4: Simplify right side
    443,513.40x = 183,680,109,968.36
  5. Step 5: Solve for x
    x = 183,680,109,968.36/443,513.40
  6. Step 6: Final answer
    x = 414,147.83

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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.