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Finding the Fourth Proportional to 378,871.70, 522,840.35 and 209,105.82

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Solution

The fourth proportional to 378,871.70, 522,840.35 and 209,105.82 is: 288,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,871.70 : 522,840.35 = 209,105.82 : x
  2. Step 2: Convert to fraction form
    378,871.70/522,840.35 = 209,105.82/x
  3. Step 3: Cross multiply
    378,871.70x = 522,840.35 × 209,105.82
  4. Step 4: Simplify right side
    378,871.70x = 109,328,960,638.60
  5. Step 5: Solve for x
    x = 109,328,960,638.60/378,871.70
  6. Step 6: Final answer
    x = 288,564.60

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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.