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Finding the Fourth Proportional to 493,515.70, 681,056.44 and 289,570.12

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Solution

The fourth proportional to 493,515.70, 681,056.44 and 289,570.12 is: 399,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,515.70 : 681,056.44 = 289,570.12 : x
  2. Step 2: Convert to fraction form
    493,515.70/681,056.44 = 289,570.12/x
  3. Step 3: Cross multiply
    493,515.70x = 681,056.44 × 289,570.12
  4. Step 4: Simplify right side
    493,515.70x = 197,213,595,057.57
  5. Step 5: Solve for x
    x = 197,213,595,057.57/493,515.70
  6. Step 6: Final answer
    x = 399,609.57

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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.