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Finding the Fourth Proportional to 379,314.30, 523,409.09 and 209,538.30

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Solution

The fourth proportional to 379,314.30, 523,409.09 and 209,538.30 is: 289,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,314.30 : 523,409.09 = 209,538.30 : x
  2. Step 2: Convert to fraction form
    379,314.30/523,409.09 = 209,538.30/x
  3. Step 3: Cross multiply
    379,314.30x = 523,409.09 × 209,538.30
  4. Step 4: Simplify right side
    379,314.30x = 109,674,250,923.15
  5. Step 5: Solve for x
    x = 109,674,250,923.15/379,314.30
  6. Step 6: Final answer
    x = 289,138.19

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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.