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Finding the Fourth Proportional to 376,335.40, 519,348.74 and 206,585

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Solution

The fourth proportional to 376,335.40, 519,348.74 and 206,585 is: 285,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,335.40 : 519,348.74 = 206,585 : x
  2. Step 2: Convert to fraction form
    376,335.40/519,348.74 = 206,585/x
  3. Step 3: Cross multiply
    376,335.40x = 519,348.74 × 206,585
  4. Step 4: Simplify right side
    376,335.40x = 107,289,659,452.90
  5. Step 5: Solve for x
    x = 107,289,659,452.90/376,335.40
  6. Step 6: Final answer
    x = 285,090.53

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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.