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Finding the Fourth Proportional to 415,065.80, 622,598.87 and 320,434.14

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Solution

The fourth proportional to 415,065.80, 622,598.87 and 320,434.14 is: 480,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,065.80 : 622,598.87 = 320,434.14 : x
  2. Step 2: Convert to fraction form
    415,065.80/622,598.87 = 320,434.14/x
  3. Step 3: Cross multiply
    415,065.80x = 622,598.87 × 320,434.14
  4. Step 4: Simplify right side
    415,065.80x = 199,501,936,609.25
  5. Step 5: Solve for x
    x = 199,501,936,609.25/415,065.80
  6. Step 6: Final answer
    x = 480,651.35

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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.