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Finding the Fourth Proportional to 279,938,802.40, 419,782,232.40 and 107,358,258.40

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Solution

The fourth proportional to 279,938,802.40, 419,782,232.40 and 107,358,258.40 is: 160,989,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938,802.40 : 419,782,232.40 = 107,358,258.40 : x
  2. Step 2: Convert to fraction form
    279,938,802.40/419,782,232.40 = 107,358,258.40/x
  3. Step 3: Cross multiply
    279,938,802.40x = 419,782,232.40 × 107,358,258.40
  4. Step 4: Simplify right side
    279,938,802.40x = 45,067,089,377,728,056
  5. Step 5: Solve for x
    x = 45,067,089,377,728,056/279,938,802.40
  6. Step 6: Final answer
    x = 160,989,076.87

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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.