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Finding the Fourth Proportional to 306,004, 422,325.12 and 171,868

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Solution

The fourth proportional to 306,004, 422,325.12 and 171,868 is: 237,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,004 : 422,325.12 = 171,868 : x
  2. Step 2: Convert to fraction form
    306,004/422,325.12 = 171,868/x
  3. Step 3: Cross multiply
    306,004x = 422,325.12 × 171,868
  4. Step 4: Simplify right side
    306,004x = 72,584,173,724.16
  5. Step 5: Solve for x
    x = 72,584,173,724.16/306,004
  6. Step 6: Final answer
    x = 237,200.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.