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Finding the Fourth Proportional to 289,696.40, 434,620.20 and 112,209.20

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Solution

The fourth proportional to 289,696.40, 434,620.20 and 112,209.20 is: 168,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,696.40 : 434,620.20 = 112,209.20 : x
  2. Step 2: Convert to fraction form
    289,696.40/434,620.20 = 112,209.20/x
  3. Step 3: Cross multiply
    289,696.40x = 434,620.20 × 112,209.20
  4. Step 4: Simplify right side
    289,696.40x = 48,768,384,945.84
  5. Step 5: Solve for x
    x = 48,768,384,945.84/289,696.40
  6. Step 6: Final answer
    x = 168,343.08

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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.