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Finding the Fourth Proportional to 886,928,624.82, 1,223,969,422.05 and 490,478,440.50

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Solution

The fourth proportional to 886,928,624.82, 1,223,969,422.05 and 490,478,440.50 is: 676,864,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,928,624.82 : 1,223,969,422.05 = 490,478,440.50 : x
  2. Step 2: Convert to fraction form
    886,928,624.82/1,223,969,422.05 = 490,478,440.50/x
  3. Step 3: Cross multiply
    886,928,624.82x = 1,223,969,422.05 × 490,478,440.50
  4. Step 4: Simplify right side
    886,928,624.82x = 600,330,613,346,770,304
  5. Step 5: Solve for x
    x = 600,330,613,346,770,304/886,928,624.82
  6. Step 6: Final answer
    x = 676,864,627.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.