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Finding the Fourth Proportional to 324,010.20, 486,015.30 and 288,580.80

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Solution

The fourth proportional to 324,010.20, 486,015.30 and 288,580.80 is: 432,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,010.20 : 486,015.30 = 288,580.80 : x
  2. Step 2: Convert to fraction form
    324,010.20/486,015.30 = 288,580.80/x
  3. Step 3: Cross multiply
    324,010.20x = 486,015.30 × 288,580.80
  4. Step 4: Simplify right side
    324,010.20x = 140,254,684,086.24
  5. Step 5: Solve for x
    x = 140,254,684,086.24/324,010.20
  6. Step 6: Final answer
    x = 432,871.20

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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.