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Finding the Fourth Proportional to 384,671.25, 530,836.61 and 214,906.59

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Solution

The fourth proportional to 384,671.25, 530,836.61 and 214,906.59 is: 296,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,671.25 : 530,836.61 = 214,906.59 : x
  2. Step 2: Convert to fraction form
    384,671.25/530,836.61 = 214,906.59/x
  3. Step 3: Cross multiply
    384,671.25x = 530,836.61 × 214,906.59
  4. Step 4: Simplify right side
    384,671.25x = 114,080,284,627.73
  5. Step 5: Solve for x
    x = 114,080,284,627.73/384,671.25
  6. Step 6: Final answer
    x = 296,565.66

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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.