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Finding the Fourth Proportional to 384,693.75, 530,877.60 and 214,927.88

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Solution

The fourth proportional to 384,693.75, 530,877.60 and 214,927.88 is: 296,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,693.75 : 530,877.60 = 214,927.88 : x
  2. Step 2: Convert to fraction form
    384,693.75/530,877.60 = 214,927.88/x
  3. Step 3: Cross multiply
    384,693.75x = 530,877.60 × 214,927.88
  4. Step 4: Simplify right side
    384,693.75x = 114,100,394,453.10
  5. Step 5: Solve for x
    x = 114,100,394,453.10/384,693.75
  6. Step 6: Final answer
    x = 296,600.59

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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.