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Finding the Fourth Proportional to 289,820.28, 399,876.27 and 167,282.64

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Solution

The fourth proportional to 289,820.28, 399,876.27 and 167,282.64 is: 230,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,820.28 : 399,876.27 = 167,282.64 : x
  2. Step 2: Convert to fraction form
    289,820.28/399,876.27 = 167,282.64/x
  3. Step 3: Cross multiply
    289,820.28x = 399,876.27 × 167,282.64
  4. Step 4: Simplify right side
    289,820.28x = 66,892,358,118.95
  5. Step 5: Solve for x
    x = 66,892,358,118.95/289,820.28
  6. Step 6: Final answer
    x = 230,806.34

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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.