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Finding the Fourth Proportional to 539,470.98, 809,368.47 and 255,378.06

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Solution

The fourth proportional to 539,470.98, 809,368.47 and 255,378.06 is: 383,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,470.98 : 809,368.47 = 255,378.06 : x
  2. Step 2: Convert to fraction form
    539,470.98/809,368.47 = 255,378.06/x
  3. Step 3: Cross multiply
    539,470.98x = 809,368.47 × 255,378.06
  4. Step 4: Simplify right side
    539,470.98x = 206,694,949,693.77
  5. Step 5: Solve for x
    x = 206,694,949,693.77/539,470.98
  6. Step 6: Final answer
    x = 383,143.78

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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.