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Finding the Fourth Proportional to 276,880,998.30, 415,321,497.45 and 276,880,998.30

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Solution

The fourth proportional to 276,880,998.30, 415,321,497.45 and 276,880,998.30 is: 415,321,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,880,998.30 : 415,321,497.45 = 276,880,998.30 : x
  2. Step 2: Convert to fraction form
    276,880,998.30/415,321,497.45 = 276,880,998.30/x
  3. Step 3: Cross multiply
    276,880,998.30x = 415,321,497.45 × 276,880,998.30
  4. Step 4: Simplify right side
    276,880,998.30x = 114,994,630,829,406,912
  5. Step 5: Solve for x
    x = 114,994,630,829,406,912/276,880,998.30
  6. Step 6: Final answer
    x = 415,321,497.45

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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.