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Finding the Fourth Proportional to 505,034.94, 757,412.22 and 140,212.74

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Solution

The fourth proportional to 505,034.94, 757,412.22 and 140,212.74 is: 210,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,034.94 : 757,412.22 = 140,212.74 : x
  2. Step 2: Convert to fraction form
    505,034.94/757,412.22 = 140,212.74/x
  3. Step 3: Cross multiply
    505,034.94x = 757,412.22 × 140,212.74
  4. Step 4: Simplify right side
    505,034.94x = 106,198,842,675.68
  5. Step 5: Solve for x
    x = 106,198,842,675.68/505,034.94
  6. Step 6: Final answer
    x = 210,280.19

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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.