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Finding the Fourth Proportional to 415,253.88, 622,821.69 and 130,907.52

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Solution

The fourth proportional to 415,253.88, 622,821.69 and 130,907.52 is: 196,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,253.88 : 622,821.69 = 130,907.52 : x
  2. Step 2: Convert to fraction form
    415,253.88/622,821.69 = 130,907.52/x
  3. Step 3: Cross multiply
    415,253.88x = 622,821.69 × 130,907.52
  4. Step 4: Simplify right side
    415,253.88x = 81,532,042,840.11
  5. Step 5: Solve for x
    x = 81,532,042,840.11/415,253.88
  6. Step 6: Final answer
    x = 196,342.64

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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.