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Finding the Fourth Proportional to 306,068.62, 422,437.14 and 209,539.42

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Solution

The fourth proportional to 306,068.62, 422,437.14 and 209,539.42 is: 289,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,068.62 : 422,437.14 = 209,539.42 : x
  2. Step 2: Convert to fraction form
    306,068.62/422,437.14 = 209,539.42/x
  3. Step 3: Cross multiply
    306,068.62x = 422,437.14 × 209,539.42
  4. Step 4: Simplify right side
    306,068.62x = 88,517,233,302.06
  5. Step 5: Solve for x
    x = 88,517,233,302.06/306,068.62
  6. Step 6: Final answer
    x = 289,207.15

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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.