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Finding the Fourth Proportional to 315,145,273.80, 472,717,910.70 and 310,840,601.70

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Solution

The fourth proportional to 315,145,273.80, 472,717,910.70 and 310,840,601.70 is: 466,260,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,145,273.80 : 472,717,910.70 = 310,840,601.70 : x
  2. Step 2: Convert to fraction form
    315,145,273.80/472,717,910.70 = 310,840,601.70/x
  3. Step 3: Cross multiply
    315,145,273.80x = 472,717,910.70 × 310,840,601.70
  4. Step 4: Simplify right side
    315,145,273.80x = 146,939,919,796,354,848
  5. Step 5: Solve for x
    x = 146,939,919,796,354,848/315,145,273.80
  6. Step 6: Final answer
    x = 466,260,902.55

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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.