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Finding the Fourth Proportional to 505,410.96, 758,296.94 and 217,101.47

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Solution

The fourth proportional to 505,410.96, 758,296.94 and 217,101.47 is: 325,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,410.96 : 758,296.94 = 217,101.47 : x
  2. Step 2: Convert to fraction form
    505,410.96/758,296.94 = 217,101.47/x
  3. Step 3: Cross multiply
    505,410.96x = 758,296.94 × 217,101.47
  4. Step 4: Simplify right side
    505,410.96x = 164,627,381,180.74
  5. Step 5: Solve for x
    x = 164,627,381,180.74/505,410.96
  6. Step 6: Final answer
    x = 325,729.74

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1.5x scale

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.