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Finding the Fourth Proportional to 472,392,693.80, 708,589,040.70 and 127,381,196.60

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Solution

The fourth proportional to 472,392,693.80, 708,589,040.70 and 127,381,196.60 is: 191,071,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,693.80 : 708,589,040.70 = 127,381,196.60 : x
  2. Step 2: Convert to fraction form
    472,392,693.80/708,589,040.70 = 127,381,196.60/x
  3. Step 3: Cross multiply
    472,392,693.80x = 708,589,040.70 × 127,381,196.60
  4. Step 4: Simplify right side
    472,392,693.80x = 90,260,919,902,012,096
  5. Step 5: Solve for x
    x = 90,260,919,902,012,096/472,392,693.80
  6. Step 6: Final answer
    x = 191,071,794.90

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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.