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Finding the Fourth Proportional to 539,484.76, 809,723.94 and 273,433.78

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Solution

The fourth proportional to 539,484.76, 809,723.94 and 273,433.78 is: 410,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,484.76 : 809,723.94 = 273,433.78 : x
  2. Step 2: Convert to fraction form
    539,484.76/809,723.94 = 273,433.78/x
  3. Step 3: Cross multiply
    539,484.76x = 809,723.94 × 273,433.78
  4. Step 4: Simplify right side
    539,484.76x = 221,405,877,670.69
  5. Step 5: Solve for x
    x = 221,405,877,670.69/539,484.76
  6. Step 6: Final answer
    x = 410,402.47

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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.