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Finding the Fourth Proportional to 418,308.26, 627,560.80 and 137,825.50

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Solution

The fourth proportional to 418,308.26, 627,560.80 and 137,825.50 is: 206,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,308.26 : 627,560.80 = 137,825.50 : x
  2. Step 2: Convert to fraction form
    418,308.26/627,560.80 = 137,825.50/x
  3. Step 3: Cross multiply
    418,308.26x = 627,560.80 × 137,825.50
  4. Step 4: Simplify right side
    418,308.26x = 86,493,881,040.40
  5. Step 5: Solve for x
    x = 86,493,881,040.40/418,308.26
  6. Step 6: Final answer
    x = 206,770.67

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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.