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Finding the Fourth Proportional to 290,441,646.40, 435,662,469.60 and 254,609,838.40

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Solution

The fourth proportional to 290,441,646.40, 435,662,469.60 and 254,609,838.40 is: 381,914,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,441,646.40 : 435,662,469.60 = 254,609,838.40 : x
  2. Step 2: Convert to fraction form
    290,441,646.40/435,662,469.60 = 254,609,838.40/x
  3. Step 3: Cross multiply
    290,441,646.40x = 435,662,469.60 × 254,609,838.40
  4. Step 4: Simplify right side
    290,441,646.40x = 110,923,950,981,800,928
  5. Step 5: Solve for x
    x = 110,923,950,981,800,928/290,441,646.40
  6. Step 6: Final answer
    x = 381,914,757.60

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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.