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Finding the Fourth Proportional to 456,805.80, 685,208.70 and 220,172.40

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Solution

The fourth proportional to 456,805.80, 685,208.70 and 220,172.40 is: 330,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,805.80 : 685,208.70 = 220,172.40 : x
  2. Step 2: Convert to fraction form
    456,805.80/685,208.70 = 220,172.40/x
  3. Step 3: Cross multiply
    456,805.80x = 685,208.70 × 220,172.40
  4. Step 4: Simplify right side
    456,805.80x = 150,864,043,979.88
  5. Step 5: Solve for x
    x = 150,864,043,979.88/456,805.80
  6. Step 6: Final answer
    x = 330,258.60

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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.