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Finding the Fourth Proportional to 289,889.40, 434,963.56 and 112,410.30

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Solution

The fourth proportional to 289,889.40, 434,963.56 and 112,410.30 is: 168,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,889.40 : 434,963.56 = 112,410.30 : x
  2. Step 2: Convert to fraction form
    289,889.40/434,963.56 = 112,410.30/x
  3. Step 3: Cross multiply
    289,889.40x = 434,963.56 × 112,410.30
  4. Step 4: Simplify right side
    289,889.40x = 48,894,384,268.67
  5. Step 5: Solve for x
    x = 48,894,384,268.67/289,889.40
  6. Step 6: Final answer
    x = 168,665.65

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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.