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Finding the Fourth Proportional to 505,785.60, 758,581.20 and 150,811.20

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Solution

The fourth proportional to 505,785.60, 758,581.20 and 150,811.20 is: 226,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,785.60 : 758,581.20 = 150,811.20 : x
  2. Step 2: Convert to fraction form
    505,785.60/758,581.20 = 150,811.20/x
  3. Step 3: Cross multiply
    505,785.60x = 758,581.20 × 150,811.20
  4. Step 4: Simplify right side
    505,785.60x = 114,402,541,069.44
  5. Step 5: Solve for x
    x = 114,402,541,069.44/505,785.60
  6. Step 6: Final answer
    x = 226,187.82

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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.