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Finding the Fourth Proportional to 415,595.87, 623,393.80 and 320,964.08

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Solution

The fourth proportional to 415,595.87, 623,393.80 and 320,964.08 is: 481,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,595.87 : 623,393.80 = 320,964.08 : x
  2. Step 2: Convert to fraction form
    415,595.87/623,393.80 = 320,964.08/x
  3. Step 3: Cross multiply
    415,595.87x = 623,393.80 × 320,964.08
  4. Step 4: Simplify right side
    415,595.87x = 200,087,013,575.33
  5. Step 5: Solve for x
    x = 200,087,013,575.33/415,595.87
  6. Step 6: Final answer
    x = 481,446.11

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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.