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Finding the Fourth Proportional to 428,198.64, 589,595.04 and 380,369.04

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Solution

The fourth proportional to 428,198.64, 589,595.04 and 380,369.04 is: 523,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,198.64 : 589,595.04 = 380,369.04 : x
  2. Step 2: Convert to fraction form
    428,198.64/589,595.04 = 380,369.04/x
  3. Step 3: Cross multiply
    428,198.64x = 589,595.04 × 380,369.04
  4. Step 4: Simplify right side
    428,198.64x = 224,263,699,353.56
  5. Step 5: Solve for x
    x = 224,263,699,353.56/428,198.64
  6. Step 6: Final answer
    x = 523,737.53

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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.