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Finding the Fourth Proportional to 298,949,762.40, 448,424,643.60 and 222,422,258.40

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Solution

The fourth proportional to 298,949,762.40, 448,424,643.60 and 222,422,258.40 is: 333,633,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,949,762.40 : 448,424,643.60 = 222,422,258.40 : x
  2. Step 2: Convert to fraction form
    298,949,762.40/448,424,643.60 = 222,422,258.40/x
  3. Step 3: Cross multiply
    298,949,762.40x = 448,424,643.60 × 222,422,258.40
  4. Step 4: Simplify right side
    298,949,762.40x = 99,739,621,951,727,120
  5. Step 5: Solve for x
    x = 99,739,621,951,727,120/298,949,762.40
  6. Step 6: Final answer
    x = 333,633,387.60

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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.