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Finding the Fourth Proportional to 415,447.84, 622,722.48 and 165,855.52

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Solution

The fourth proportional to 415,447.84, 622,722.48 and 165,855.52 is: 248,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,447.84 : 622,722.48 = 165,855.52 : x
  2. Step 2: Convert to fraction form
    415,447.84/622,722.48 = 165,855.52/x
  3. Step 3: Cross multiply
    415,447.84x = 622,722.48 × 165,855.52
  4. Step 4: Simplify right side
    415,447.84x = 103,281,960,736.09
  5. Step 5: Solve for x
    x = 103,281,960,736.09/415,447.84
  6. Step 6: Final answer
    x = 248,603.92

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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.