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Finding the Fourth Proportional to 379,210.50, 523,310.49 and 209,455.56

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Solution

The fourth proportional to 379,210.50, 523,310.49 and 209,455.56 is: 289,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,210.50 : 523,310.49 = 209,455.56 : x
  2. Step 2: Convert to fraction form
    379,210.50/523,310.49 = 209,455.56/x
  3. Step 3: Cross multiply
    379,210.50x = 523,310.49 × 209,455.56
  4. Step 4: Simplify right side
    379,210.50x = 109,610,291,736.82
  5. Step 5: Solve for x
    x = 109,610,291,736.82/379,210.50
  6. Step 6: Final answer
    x = 289,048.67

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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.