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Finding the Fourth Proportional to 415,257.88, 622,827.69 and 130,911.52

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Solution

The fourth proportional to 415,257.88, 622,827.69 and 130,911.52 is: 196,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,257.88 : 622,827.69 = 130,911.52 : x
  2. Step 2: Convert to fraction form
    415,257.88/622,827.69 = 130,911.52/x
  3. Step 3: Cross multiply
    415,257.88x = 622,827.69 × 130,911.52
  4. Step 4: Simplify right side
    415,257.88x = 81,535,319,595.99
  5. Step 5: Solve for x
    x = 81,535,319,595.99/415,257.88
  6. Step 6: Final answer
    x = 196,348.64

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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.