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Finding the Fourth Proportional to 324,093.60, 486,428.40 and 190,807.20

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Solution

The fourth proportional to 324,093.60, 486,428.40 and 190,807.20 is: 286,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,093.60 : 486,428.40 = 190,807.20 : x
  2. Step 2: Convert to fraction form
    324,093.60/486,428.40 = 190,807.20/x
  3. Step 3: Cross multiply
    324,093.60x = 486,428.40 × 190,807.20
  4. Step 4: Simplify right side
    324,093.60x = 92,814,041,004.48
  5. Step 5: Solve for x
    x = 92,814,041,004.48/324,093.60
  6. Step 6: Final answer
    x = 286,380.36

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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.