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Finding the Fourth Proportional to 306,114, 422,246.70 and 210,454.62

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Solution

The fourth proportional to 306,114, 422,246.70 and 210,454.62 is: 290,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,114 : 422,246.70 = 210,454.62 : x
  2. Step 2: Convert to fraction form
    306,114/422,246.70 = 210,454.62/x
  3. Step 3: Cross multiply
    306,114x = 422,246.70 × 210,454.62
  4. Step 4: Simplify right side
    306,114x = 88,863,768,794.75
  5. Step 5: Solve for x
    x = 88,863,768,794.75/306,114
  6. Step 6: Final answer
    x = 290,296.32

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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.