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Finding the Fourth Proportional to 415,429.38, 623,144.26 and 131,148.77

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Solution

The fourth proportional to 415,429.38, 623,144.26 and 131,148.77 is: 196,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,429.38 : 623,144.26 = 131,148.77 : x
  2. Step 2: Convert to fraction form
    415,429.38/623,144.26 = 131,148.77/x
  3. Step 3: Cross multiply
    415,429.38x = 623,144.26 × 131,148.77
  4. Step 4: Simplify right side
    415,429.38x = 81,724,604,153.82
  5. Step 5: Solve for x
    x = 81,724,604,153.82/415,429.38
  6. Step 6: Final answer
    x = 196,723.22

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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.