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Finding the Fourth Proportional to 289,486.60, 434,209.09 and 89,801.80

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Solution

The fourth proportional to 289,486.60, 434,209.09 and 89,801.80 is: 134,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,486.60 : 434,209.09 = 89,801.80 : x
  2. Step 2: Convert to fraction form
    289,486.60/434,209.09 = 89,801.80/x
  3. Step 3: Cross multiply
    289,486.60x = 434,209.09 × 89,801.80
  4. Step 4: Simplify right side
    289,486.60x = 38,992,757,858.36
  5. Step 5: Solve for x
    x = 38,992,757,858.36/289,486.60
  6. Step 6: Final answer
    x = 134,696.24

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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.