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Finding the Fourth Proportional to 443,642.82, 665,908.11 and 207,151.98

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Solution

The fourth proportional to 443,642.82, 665,908.11 and 207,151.98 is: 310,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,642.82 : 665,908.11 = 207,151.98 : x
  2. Step 2: Convert to fraction form
    443,642.82/665,908.11 = 207,151.98/x
  3. Step 3: Cross multiply
    443,642.82x = 665,908.11 × 207,151.98
  4. Step 4: Simplify right side
    443,642.82x = 137,944,183,484.56
  5. Step 5: Solve for x
    x = 137,944,183,484.56/443,642.82
  6. Step 6: Final answer
    x = 310,935.23

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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.