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Finding the Fourth Proportional to 539,816.74, 809,474.55 and 315,243.70

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Solution

The fourth proportional to 539,816.74, 809,474.55 and 315,243.70 is: 472,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,816.74 : 809,474.55 = 315,243.70 : x
  2. Step 2: Convert to fraction form
    539,816.74/809,474.55 = 315,243.70/x
  3. Step 3: Cross multiply
    539,816.74x = 809,474.55 × 315,243.70
  4. Step 4: Simplify right side
    539,816.74x = 255,181,752,197.84
  5. Step 5: Solve for x
    x = 255,181,752,197.84/539,816.74
  6. Step 6: Final answer
    x = 472,719.23

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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.