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Finding the Fourth Proportional to 386,709.96, 533,651.72 and 214,617.94

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Solution

The fourth proportional to 386,709.96, 533,651.72 and 214,617.94 is: 296,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,709.96 : 533,651.72 = 214,617.94 : x
  2. Step 2: Convert to fraction form
    386,709.96/533,651.72 = 214,617.94/x
  3. Step 3: Cross multiply
    386,709.96x = 533,651.72 × 214,617.94
  4. Step 4: Simplify right side
    386,709.96x = 114,531,232,823.86
  5. Step 5: Solve for x
    x = 114,531,232,823.86/386,709.96
  6. Step 6: Final answer
    x = 296,168.30

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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.