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Finding the Fourth Proportional to 539,416.43, 809,285.63 and 160,349.79

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Solution

The fourth proportional to 539,416.43, 809,285.63 and 160,349.79 is: 240,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,416.43 : 809,285.63 = 160,349.79 : x
  2. Step 2: Convert to fraction form
    539,416.43/809,285.63 = 160,349.79/x
  3. Step 3: Cross multiply
    539,416.43x = 809,285.63 × 160,349.79
  4. Step 4: Simplify right side
    539,416.43x = 129,768,780,820.52
  5. Step 5: Solve for x
    x = 129,768,780,820.52/539,416.43
  6. Step 6: Final answer
    x = 240,572.54

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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.