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Finding the Fourth Proportional to 290,696.20, 436,044.30 and 206,715.40

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Solution

The fourth proportional to 290,696.20, 436,044.30 and 206,715.40 is: 310,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,696.20 : 436,044.30 = 206,715.40 : x
  2. Step 2: Convert to fraction form
    290,696.20/436,044.30 = 206,715.40/x
  3. Step 3: Cross multiply
    290,696.20x = 436,044.30 × 206,715.40
  4. Step 4: Simplify right side
    290,696.20x = 90,137,071,892.22
  5. Step 5: Solve for x
    x = 90,137,071,892.22/290,696.20
  6. Step 6: Final answer
    x = 310,073.10

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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.