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Finding the Fourth Proportional to 324,796, 487,272.12 and 103,180

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Solution

The fourth proportional to 324,796, 487,272.12 and 103,180 is: 154,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,796 : 487,272.12 = 103,180 : x
  2. Step 2: Convert to fraction form
    324,796/487,272.12 = 103,180/x
  3. Step 3: Cross multiply
    324,796x = 487,272.12 × 103,180
  4. Step 4: Simplify right side
    324,796x = 50,276,737,341.60
  5. Step 5: Solve for x
    x = 50,276,737,341.60/324,796
  6. Step 6: Final answer
    x = 154,794.82

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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.