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Finding the Fourth Proportional to 418,780.26, 627,645.51 and 208,478.34

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Solution

The fourth proportional to 418,780.26, 627,645.51 and 208,478.34 is: 312,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,780.26 : 627,645.51 = 208,478.34 : x
  2. Step 2: Convert to fraction form
    418,780.26/627,645.51 = 208,478.34/x
  3. Step 3: Cross multiply
    418,780.26x = 627,645.51 × 208,478.34
  4. Step 4: Simplify right side
    418,780.26x = 130,850,494,033.25
  5. Step 5: Solve for x
    x = 130,850,494,033.25/418,780.26
  6. Step 6: Final answer
    x = 312,456.21

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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.