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Finding the Fourth Proportional to 279,744,009.60, 419,616,014.40 and 277,952,419.20

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Solution

The fourth proportional to 279,744,009.60, 419,616,014.40 and 277,952,419.20 is: 416,928,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,744,009.60 : 419,616,014.40 = 277,952,419.20 : x
  2. Step 2: Convert to fraction form
    279,744,009.60/419,616,014.40 = 277,952,419.20/x
  3. Step 3: Cross multiply
    279,744,009.60x = 419,616,014.40 × 277,952,419.20
  4. Step 4: Simplify right side
    279,744,009.60x = 116,633,286,337,542,032
  5. Step 5: Solve for x
    x = 116,633,286,337,542,032/279,744,009.60
  6. Step 6: Final answer
    x = 416,928,628.80

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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.