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Finding the Fourth Proportional to 682,439, 941,765.82 and 380,633

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Solution

The fourth proportional to 682,439, 941,765.82 and 380,633 is: 525,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,439 : 941,765.82 = 380,633 : x
  2. Step 2: Convert to fraction form
    682,439/941,765.82 = 380,633/x
  3. Step 3: Cross multiply
    682,439x = 941,765.82 × 380,633
  4. Step 4: Simplify right side
    682,439x = 358,467,149,364.06
  5. Step 5: Solve for x
    x = 358,467,149,364.06/682,439
  6. Step 6: Final answer
    x = 525,273.54

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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.