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Finding the Fourth Proportional to 345,874.70, 477,234.50 and 209,980.20

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Solution

The fourth proportional to 345,874.70, 477,234.50 and 209,980.20 is: 289,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,874.70 : 477,234.50 = 209,980.20 : x
  2. Step 2: Convert to fraction form
    345,874.70/477,234.50 = 209,980.20/x
  3. Step 3: Cross multiply
    345,874.70x = 477,234.50 × 209,980.20
  4. Step 4: Simplify right side
    345,874.70x = 100,209,795,756.90
  5. Step 5: Solve for x
    x = 100,209,795,756.90/345,874.70
  6. Step 6: Final answer
    x = 289,728.61

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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.