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Finding the Fourth Proportional to 306,467.80, 459,831.30 and 194,234.20

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Solution

The fourth proportional to 306,467.80, 459,831.30 and 194,234.20 is: 291,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,467.80 : 459,831.30 = 194,234.20 : x
  2. Step 2: Convert to fraction form
    306,467.80/459,831.30 = 194,234.20/x
  3. Step 3: Cross multiply
    306,467.80x = 459,831.30 × 194,234.20
  4. Step 4: Simplify right side
    306,467.80x = 89,314,964,690.46
  5. Step 5: Solve for x
    x = 89,314,964,690.46/306,467.80
  6. Step 6: Final answer
    x = 291,433.44

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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.