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Finding the Fourth Proportional to 825,378, 1,237,909.58 and 256,766.12

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Solution

The fourth proportional to 825,378, 1,237,909.58 and 256,766.12 is: 385,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,378 : 1,237,909.58 = 256,766.12 : x
  2. Step 2: Convert to fraction form
    825,378/1,237,909.58 = 256,766.12/x
  3. Step 3: Cross multiply
    825,378x = 1,237,909.58 × 256,766.12
  4. Step 4: Simplify right side
    825,378x = 317,853,239,767.43
  5. Step 5: Solve for x
    x = 317,853,239,767.43/825,378
  6. Step 6: Final answer
    x = 385,100.21

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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.