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Finding the Fourth Proportional to 418,618.82, 627,949.95 and 138,157.94

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Solution

The fourth proportional to 418,618.82, 627,949.95 and 138,157.94 is: 207,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,618.82 : 627,949.95 = 138,157.94 : x
  2. Step 2: Convert to fraction form
    418,618.82/627,949.95 = 138,157.94/x
  3. Step 3: Cross multiply
    418,618.82x = 627,949.95 × 138,157.94
  4. Step 4: Simplify right side
    418,618.82x = 86,756,271,515.10
  5. Step 5: Solve for x
    x = 86,756,271,515.10/418,618.82
  6. Step 6: Final answer
    x = 207,244.08

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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.