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Finding the Fourth Proportional to 387,529, 534,840.14 and 217,763.14

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Solution

The fourth proportional to 387,529, 534,840.14 and 217,763.14 is: 300,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,529 : 534,840.14 = 217,763.14 : x
  2. Step 2: Convert to fraction form
    387,529/534,840.14 = 217,763.14/x
  3. Step 3: Cross multiply
    387,529x = 534,840.14 × 217,763.14
  4. Step 4: Simplify right side
    387,529x = 116,468,467,195.62
  5. Step 5: Solve for x
    x = 116,468,467,195.62/387,529
  6. Step 6: Final answer
    x = 300,541.29

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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.