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Finding the Fourth Proportional to 289,881.40, 434,627.70 and 132,028.60

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Solution

The fourth proportional to 289,881.40, 434,627.70 and 132,028.60 is: 197,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.40 : 434,627.70 = 132,028.60 : x
  2. Step 2: Convert to fraction form
    289,881.40/434,627.70 = 132,028.60/x
  3. Step 3: Cross multiply
    289,881.40x = 434,627.70 × 132,028.60
  4. Step 4: Simplify right side
    289,881.40x = 57,383,286,752.22
  5. Step 5: Solve for x
    x = 57,383,286,752.22/289,881.40
  6. Step 6: Final answer
    x = 197,954.36

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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.