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Finding the Fourth Proportional to 415,586.72, 573,243.73 and 288,215.84

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Solution

The fourth proportional to 415,586.72, 573,243.73 and 288,215.84 is: 397,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,586.72 : 573,243.73 = 288,215.84 : x
  2. Step 2: Convert to fraction form
    415,586.72/573,243.73 = 288,215.84/x
  3. Step 3: Cross multiply
    415,586.72x = 573,243.73 × 288,215.84
  4. Step 4: Simplify right side
    415,586.72x = 165,217,923,166.68
  5. Step 5: Solve for x
    x = 165,217,923,166.68/415,586.72
  6. Step 6: Final answer
    x = 397,553.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.