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Finding the Fourth Proportional to 433,709.28, 650,564.64 and 284,889.60

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Solution

The fourth proportional to 433,709.28, 650,564.64 and 284,889.60 is: 427,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,709.28 : 650,564.64 = 284,889.60 : x
  2. Step 2: Convert to fraction form
    433,709.28/650,564.64 = 284,889.60/x
  3. Step 3: Cross multiply
    433,709.28x = 650,564.64 × 284,889.60
  4. Step 4: Simplify right side
    433,709.28x = 185,339,100,063.74
  5. Step 5: Solve for x
    x = 185,339,100,063.74/433,709.28
  6. Step 6: Final answer
    x = 427,334.87

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1.5x scale

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.