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Finding the Fourth Proportional to 384,103.86, 530,010.64 and 214,305.18

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Solution

The fourth proportional to 384,103.86, 530,010.64 and 214,305.18 is: 295,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,103.86 : 530,010.64 = 214,305.18 : x
  2. Step 2: Convert to fraction form
    384,103.86/530,010.64 = 214,305.18/x
  3. Step 3: Cross multiply
    384,103.86x = 530,010.64 × 214,305.18
  4. Step 4: Simplify right side
    384,103.86x = 113,584,025,607.12
  5. Step 5: Solve for x
    x = 113,584,025,607.12/384,103.86
  6. Step 6: Final answer
    x = 295,711.75

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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.