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Finding the Fourth Proportional to 505,030.68, 757,405.85 and 140,208.48

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Solution

The fourth proportional to 505,030.68, 757,405.85 and 140,208.48 is: 210,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,030.68 : 757,405.85 = 140,208.48 : x
  2. Step 2: Convert to fraction form
    505,030.68/757,405.85 = 140,208.48/x
  3. Step 3: Cross multiply
    505,030.68x = 757,405.85 × 140,208.48
  4. Step 4: Simplify right side
    505,030.68x = 106,194,722,270.57
  5. Step 5: Solve for x
    x = 106,194,722,270.57/505,030.68
  6. Step 6: Final answer
    x = 210,273.80

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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.