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Finding the Fourth Proportional to 443,014.70, 664,522.05 and 310,045.10

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Solution

The fourth proportional to 443,014.70, 664,522.05 and 310,045.10 is: 465,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,014.70 : 664,522.05 = 310,045.10 : x
  2. Step 2: Convert to fraction form
    443,014.70/664,522.05 = 310,045.10/x
  3. Step 3: Cross multiply
    443,014.70x = 664,522.05 × 310,045.10
  4. Step 4: Simplify right side
    443,014.70x = 206,031,805,444.46
  5. Step 5: Solve for x
    x = 206,031,805,444.46/443,014.70
  6. Step 6: Final answer
    x = 465,067.65

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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.