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Finding the Fourth Proportional to 289,717.22, 399,810.64 and 160,664.78

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Solution

The fourth proportional to 289,717.22, 399,810.64 and 160,664.78 is: 221,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,717.22 : 399,810.64 = 160,664.78 : x
  2. Step 2: Convert to fraction form
    289,717.22/399,810.64 = 160,664.78/x
  3. Step 3: Cross multiply
    289,717.22x = 399,810.64 × 160,664.78
  4. Step 4: Simplify right side
    289,717.22x = 64,235,488,517.26
  5. Step 5: Solve for x
    x = 64,235,488,517.26/289,717.22
  6. Step 6: Final answer
    x = 221,717.88

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1.5x scale

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.