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Finding the Fourth Proportional to 276,678,274.70, 415,090,098.03 and 99,433,311.48

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Solution

The fourth proportional to 276,678,274.70, 415,090,098.03 and 99,433,311.48 is: 149,176,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,678,274.70 : 415,090,098.03 = 99,433,311.48 : x
  2. Step 2: Convert to fraction form
    276,678,274.70/415,090,098.03 = 99,433,311.48/x
  3. Step 3: Cross multiply
    276,678,274.70x = 415,090,098.03 × 99,433,311.48
  4. Step 4: Simplify right side
    276,678,274.70x = 41,273,783,009,680,720
  5. Step 5: Solve for x
    x = 41,273,783,009,680,720/276,678,274.70
  6. Step 6: Final answer
    x = 149,176,089.29

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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.