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Finding the Fourth Proportional to 415,855.42, 623,805.83 and 131,524.74

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Solution

The fourth proportional to 415,855.42, 623,805.83 and 131,524.74 is: 197,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,855.42 : 623,805.83 = 131,524.74 : x
  2. Step 2: Convert to fraction form
    415,855.42/623,805.83 = 131,524.74/x
  3. Step 3: Cross multiply
    415,855.42x = 623,805.83 × 131,524.74
  4. Step 4: Simplify right side
    415,855.42x = 82,045,898,943.61
  5. Step 5: Solve for x
    x = 82,045,898,943.61/415,855.42
  6. Step 6: Final answer
    x = 197,294.29

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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.