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Finding the Fourth Proportional to 720,771.52, 994,724.64 and 419,024.32

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Solution

The fourth proportional to 720,771.52, 994,724.64 and 419,024.32 is: 578,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,771.52 : 994,724.64 = 419,024.32 : x
  2. Step 2: Convert to fraction form
    720,771.52/994,724.64 = 419,024.32/x
  3. Step 3: Cross multiply
    720,771.52x = 994,724.64 × 419,024.32
  4. Step 4: Simplify right side
    720,771.52x = 416,813,815,863.25
  5. Step 5: Solve for x
    x = 416,813,815,863.25/720,771.52
  6. Step 6: Final answer
    x = 578,288.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.