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Finding the Fourth Proportional to 279,604,807.60, 419,257,912.20 and 117,864,007.60

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Solution

The fourth proportional to 279,604,807.60, 419,257,912.20 and 117,864,007.60 is: 176,733,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,604,807.60 : 419,257,912.20 = 117,864,007.60 : x
  2. Step 2: Convert to fraction form
    279,604,807.60/419,257,912.20 = 117,864,007.60/x
  3. Step 3: Cross multiply
    279,604,807.60x = 419,257,912.20 × 117,864,007.60
  4. Step 4: Simplify right side
    279,604,807.60x = 49,415,417,749,900,928
  5. Step 5: Solve for x
    x = 49,415,417,749,900,928/279,604,807.60
  6. Step 6: Final answer
    x = 176,733,076.14

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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.