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Finding the Fourth Proportional to 415,583.72, 573,239.59 and 288,212.84

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Solution

The fourth proportional to 415,583.72, 573,239.59 and 288,212.84 is: 397,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,583.72 : 573,239.59 = 288,212.84 : x
  2. Step 2: Convert to fraction form
    415,583.72/573,239.59 = 288,212.84/x
  3. Step 3: Cross multiply
    415,583.72x = 573,239.59 × 288,212.84
  4. Step 4: Simplify right side
    415,583.72x = 165,215,006,647.61
  5. Step 5: Solve for x
    x = 165,215,006,647.61/415,583.72
  6. Step 6: Final answer
    x = 397,549.28

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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.