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Finding the Fourth Proportional to 386,635, 533,555.20 and 214,578.96

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Solution

The fourth proportional to 386,635, 533,555.20 and 214,578.96 is: 296,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,635 : 533,555.20 = 214,578.96 : x
  2. Step 2: Convert to fraction form
    386,635/533,555.20 = 214,578.96/x
  3. Step 3: Cross multiply
    386,635x = 533,555.20 × 214,578.96
  4. Step 4: Simplify right side
    386,635x = 114,489,719,918.59
  5. Step 5: Solve for x
    x = 114,489,719,918.59/386,635
  6. Step 6: Final answer
    x = 296,118.35

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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.