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Finding the Fourth Proportional to 234,809.40, 352,214.10 and 209,148.60

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Solution

The fourth proportional to 234,809.40, 352,214.10 and 209,148.60 is: 313,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,809.40 : 352,214.10 = 209,148.60 : x
  2. Step 2: Convert to fraction form
    234,809.40/352,214.10 = 209,148.60/x
  3. Step 3: Cross multiply
    234,809.40x = 352,214.10 × 209,148.60
  4. Step 4: Simplify right side
    234,809.40x = 73,665,085,915.26
  5. Step 5: Solve for x
    x = 73,665,085,915.26/234,809.40
  6. Step 6: Final answer
    x = 313,722.90

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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.