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Finding the Fourth Proportional to 415,143.50, 622,715.85 and 115,624.94

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Solution

The fourth proportional to 415,143.50, 622,715.85 and 115,624.94 is: 173,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,143.50 : 622,715.85 = 115,624.94 : x
  2. Step 2: Convert to fraction form
    415,143.50/622,715.85 = 115,624.94/x
  3. Step 3: Cross multiply
    415,143.50x = 622,715.85 × 115,624.94
  4. Step 4: Simplify right side
    415,143.50x = 72,001,479,679.72
  5. Step 5: Solve for x
    x = 72,001,479,679.72/415,143.50
  6. Step 6: Final answer
    x = 173,437.57

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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.