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Finding the Fourth Proportional to 465,808.05, 643,303.08 and 320,990.38

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Solution

The fourth proportional to 465,808.05, 643,303.08 and 320,990.38 is: 443,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,808.05 : 643,303.08 = 320,990.38 : x
  2. Step 2: Convert to fraction form
    465,808.05/643,303.08 = 320,990.38/x
  3. Step 3: Cross multiply
    465,808.05x = 643,303.08 × 320,990.38
  4. Step 4: Simplify right side
    465,808.05x = 206,494,098,496.11
  5. Step 5: Solve for x
    x = 206,494,098,496.11/465,808.05
  6. Step 6: Final answer
    x = 443,302.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.