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Finding the Fourth Proportional to 212,954.88, 318,886.74 and 206,648.04

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Solution

The fourth proportional to 212,954.88, 318,886.74 and 206,648.04 is: 309,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954.88 : 318,886.74 = 206,648.04 : x
  2. Step 2: Convert to fraction form
    212,954.88/318,886.74 = 206,648.04/x
  3. Step 3: Cross multiply
    212,954.88x = 318,886.74 × 206,648.04
  4. Step 4: Simplify right side
    212,954.88x = 65,897,319,802.99
  5. Step 5: Solve for x
    x = 65,897,319,802.99/212,954.88
  6. Step 6: Final answer
    x = 309,442.64

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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.