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Finding the Fourth Proportional to 418,426.40, 627,639.60 and 137,907.20

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Solution

The fourth proportional to 418,426.40, 627,639.60 and 137,907.20 is: 206,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,426.40 : 627,639.60 = 137,907.20 : x
  2. Step 2: Convert to fraction form
    418,426.40/627,639.60 = 137,907.20/x
  3. Step 3: Cross multiply
    418,426.40x = 627,639.60 × 137,907.20
  4. Step 4: Simplify right side
    418,426.40x = 86,556,019,845.12
  5. Step 5: Solve for x
    x = 86,556,019,845.12/418,426.40
  6. Step 6: Final answer
    x = 206,860.80

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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.