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Finding the Fourth Proportional to 327,054.79, 490,582.18 and 102,432.80

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Solution

The fourth proportional to 327,054.79, 490,582.18 and 102,432.80 is: 153,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,054.79 : 490,582.18 = 102,432.80 : x
  2. Step 2: Convert to fraction form
    327,054.79/490,582.18 = 102,432.80/x
  3. Step 3: Cross multiply
    327,054.79x = 490,582.18 × 102,432.80
  4. Step 4: Simplify right side
    327,054.79x = 50,251,706,273.82
  5. Step 5: Solve for x
    x = 50,251,706,273.82/327,054.79
  6. Step 6: Final answer
    x = 153,649.20

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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.