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Finding the Fourth Proportional to 481,769.83, 665,154.34 and 309,765.05

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Solution

The fourth proportional to 481,769.83, 665,154.34 and 309,765.05 is: 427,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,769.83 : 665,154.34 = 309,765.05 : x
  2. Step 2: Convert to fraction form
    481,769.83/665,154.34 = 309,765.05/x
  3. Step 3: Cross multiply
    481,769.83x = 665,154.34 × 309,765.05
  4. Step 4: Simplify right side
    481,769.83x = 206,041,563,287.63
  5. Step 5: Solve for x
    x = 206,041,563,287.63/481,769.83
  6. Step 6: Final answer
    x = 427,676.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.