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Finding the Fourth Proportional to 613,757.16, 920,856.54 and 214,456.68

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Solution

The fourth proportional to 613,757.16, 920,856.54 and 214,456.68 is: 321,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,757.16 : 920,856.54 = 214,456.68 : x
  2. Step 2: Convert to fraction form
    613,757.16/920,856.54 = 214,456.68/x
  3. Step 3: Cross multiply
    613,757.16x = 920,856.54 × 214,456.68
  4. Step 4: Simplify right side
    613,757.16x = 197,483,836,324.69
  5. Step 5: Solve for x
    x = 197,483,836,324.69/613,757.16
  6. Step 6: Final answer
    x = 321,762.17

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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.