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Finding the Fourth Proportional to 340,892.36, 470,447.47 and 189,990.44

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Solution

The fourth proportional to 340,892.36, 470,447.47 and 189,990.44 is: 262,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,892.36 : 470,447.47 = 189,990.44 : x
  2. Step 2: Convert to fraction form
    340,892.36/470,447.47 = 189,990.44/x
  3. Step 3: Cross multiply
    340,892.36x = 470,447.47 × 189,990.44
  4. Step 4: Simplify right side
    340,892.36x = 89,380,518,994.97
  5. Step 5: Solve for x
    x = 89,380,518,994.97/340,892.36
  6. Step 6: Final answer
    x = 262,195.73

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1.5x scale

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.