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Finding the Fourth Proportional to 289,809.20, 434,511.30 and 171,419.60

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Solution

The fourth proportional to 289,809.20, 434,511.30 and 171,419.60 is: 257,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.20 : 434,511.30 = 171,419.60 : x
  2. Step 2: Convert to fraction form
    289,809.20/434,511.30 = 171,419.60/x
  3. Step 3: Cross multiply
    289,809.20x = 434,511.30 × 171,419.60
  4. Step 4: Simplify right side
    289,809.20x = 74,483,753,241.48
  5. Step 5: Solve for x
    x = 74,483,753,241.48/289,809.20
  6. Step 6: Final answer
    x = 257,009.62

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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.