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Finding the Fourth Proportional to 539,409.93, 809,129.48 and 140,041.86

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Solution

The fourth proportional to 539,409.93, 809,129.48 and 140,041.86 is: 210,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,409.93 : 809,129.48 = 140,041.86 : x
  2. Step 2: Convert to fraction form
    539,409.93/809,129.48 = 140,041.86/x
  3. Step 3: Cross multiply
    539,409.93x = 809,129.48 × 140,041.86
  4. Step 4: Simplify right side
    539,409.93x = 113,311,996,659.82
  5. Step 5: Solve for x
    x = 113,311,996,659.82/539,409.93
  6. Step 6: Final answer
    x = 210,066.58

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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.