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Finding the Fourth Proportional to 1,319,619,785.40, 1,978,925,793.30 and 399,190,217.40

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Solution

The fourth proportional to 1,319,619,785.40, 1,978,925,793.30 and 399,190,217.40 is: 598,632,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,619,785.40 : 1,978,925,793.30 = 399,190,217.40 : x
  2. Step 2: Convert to fraction form
    1,319,619,785.40/1,978,925,793.30 = 399,190,217.40/x
  3. Step 3: Cross multiply
    1,319,619,785.40x = 1,978,925,793.30 × 399,190,217.40
  4. Step 4: Simplify right side
    1,319,619,785.40x = 789,967,817,645,894,400
  5. Step 5: Solve for x
    x = 789,967,817,645,894,400/1,319,619,785.40
  6. Step 6: Final answer
    x = 598,632,898.95

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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.