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Finding the Fourth Proportional to 613,506.54, 920,309 and 214,138.46

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Solution

The fourth proportional to 613,506.54, 920,309 and 214,138.46 is: 321,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,506.54 : 920,309 = 214,138.46 : x
  2. Step 2: Convert to fraction form
    613,506.54/920,309 = 214,138.46/x
  3. Step 3: Cross multiply
    613,506.54x = 920,309 × 214,138.46
  4. Step 4: Simplify right side
    613,506.54x = 197,073,551,984.14
  5. Step 5: Solve for x
    x = 197,073,551,984.14/613,506.54
  6. Step 6: Final answer
    x = 321,224.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.