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Finding the Fourth Proportional to 518,579.75, 778,233.23 and 214,978.59

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Solution

The fourth proportional to 518,579.75, 778,233.23 and 214,978.59 is: 322,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,579.75 : 778,233.23 = 214,978.59 : x
  2. Step 2: Convert to fraction form
    518,579.75/778,233.23 = 214,978.59/x
  3. Step 3: Cross multiply
    518,579.75x = 778,233.23 × 214,978.59
  4. Step 4: Simplify right side
    518,579.75x = 167,303,479,289.45
  5. Step 5: Solve for x
    x = 167,303,479,289.45/518,579.75
  6. Step 6: Final answer
    x = 322,618.61

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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.