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Finding the Fourth Proportional to 340,711.32, 470,190.96 and 189,808.32

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Solution

The fourth proportional to 340,711.32, 470,190.96 and 189,808.32 is: 261,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,711.32 : 470,190.96 = 189,808.32 : x
  2. Step 2: Convert to fraction form
    340,711.32/470,190.96 = 189,808.32/x
  3. Step 3: Cross multiply
    340,711.32x = 470,190.96 × 189,808.32
  4. Step 4: Simplify right side
    340,711.32x = 89,246,156,196.79
  5. Step 5: Solve for x
    x = 89,246,156,196.79/340,711.32
  6. Step 6: Final answer
    x = 261,940.68

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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.