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Finding the Fourth Proportional to 314,928,287.70, 472,392,431.55 and 217,993,449.30

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Solution

The fourth proportional to 314,928,287.70, 472,392,431.55 and 217,993,449.30 is: 326,990,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,287.70 : 472,392,431.55 = 217,993,449.30 : x
  2. Step 2: Convert to fraction form
    314,928,287.70/472,392,431.55 = 217,993,449.30/x
  3. Step 3: Cross multiply
    314,928,287.70x = 472,392,431.55 × 217,993,449.30
  4. Step 4: Simplify right side
    314,928,287.70x = 102,978,455,576,798,656
  5. Step 5: Solve for x
    x = 102,978,455,576,798,656/314,928,287.70
  6. Step 6: Final answer
    x = 326,990,173.95

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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.