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Finding the Fourth Proportional to 289,609.20, 434,705.40 and 139,969.80

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Solution

The fourth proportional to 289,609.20, 434,705.40 and 139,969.80 is: 210,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,609.20 : 434,705.40 = 139,969.80 : x
  2. Step 2: Convert to fraction form
    289,609.20/434,705.40 = 139,969.80/x
  3. Step 3: Cross multiply
    289,609.20x = 434,705.40 × 139,969.80
  4. Step 4: Simplify right side
    289,609.20x = 60,845,627,896.92
  5. Step 5: Solve for x
    x = 60,845,627,896.92/289,609.20
  6. Step 6: Final answer
    x = 210,095.63

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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.