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Finding the Fourth Proportional to 415,805.36, 623,784.96 and 131,567.47

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Solution

The fourth proportional to 415,805.36, 623,784.96 and 131,567.47 is: 197,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,805.36 : 623,784.96 = 131,567.47 : x
  2. Step 2: Convert to fraction form
    415,805.36/623,784.96 = 131,567.47/x
  3. Step 3: Cross multiply
    415,805.36x = 623,784.96 × 131,567.47
  4. Step 4: Simplify right side
    415,805.36x = 82,069,809,011.25
  5. Step 5: Solve for x
    x = 82,069,809,011.25/415,805.36
  6. Step 6: Final answer
    x = 197,375.54

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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.