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Finding the Fourth Proportional to 509,074.04, 763,606.20 and 309,449.54

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Solution

The fourth proportional to 509,074.04, 763,606.20 and 309,449.54 is: 464,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,074.04 : 763,606.20 = 309,449.54 : x
  2. Step 2: Convert to fraction form
    509,074.04/763,606.20 = 309,449.54/x
  3. Step 3: Cross multiply
    509,074.04x = 763,606.20 × 309,449.54
  4. Step 4: Simplify right side
    509,074.04x = 236,297,587,331.15
  5. Step 5: Solve for x
    x = 236,297,587,331.15/509,074.04
  6. Step 6: Final answer
    x = 464,171.36

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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.