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Finding the Fourth Proportional to 325,978.20, 489,053.70 and 115,594.20

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Solution

The fourth proportional to 325,978.20, 489,053.70 and 115,594.20 is: 173,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,978.20 : 489,053.70 = 115,594.20 : x
  2. Step 2: Convert to fraction form
    325,978.20/489,053.70 = 115,594.20/x
  3. Step 3: Cross multiply
    325,978.20x = 489,053.70 × 115,594.20
  4. Step 4: Simplify right side
    325,978.20x = 56,531,771,208.54
  5. Step 5: Solve for x
    x = 56,531,771,208.54/325,978.20
  6. Step 6: Final answer
    x = 173,421.94

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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.