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Finding the Fourth Proportional to 470,998.20, 706,278.60 and 204,621.60

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Solution

The fourth proportional to 470,998.20, 706,278.60 and 204,621.60 is: 306,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,998.20 : 706,278.60 = 204,621.60 : x
  2. Step 2: Convert to fraction form
    470,998.20/706,278.60 = 204,621.60/x
  3. Step 3: Cross multiply
    470,998.20x = 706,278.60 × 204,621.60
  4. Step 4: Simplify right side
    470,998.20x = 144,519,857,177.76
  5. Step 5: Solve for x
    x = 144,519,857,177.76/470,998.20
  6. Step 6: Final answer
    x = 306,837.39

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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.