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Finding the Fourth Proportional to 376,420.64, 519,453.95 and 206,653.55

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Solution

The fourth proportional to 376,420.64, 519,453.95 and 206,653.55 is: 285,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,420.64 : 519,453.95 = 206,653.55 : x
  2. Step 2: Convert to fraction form
    376,420.64/519,453.95 = 206,653.55/x
  3. Step 3: Cross multiply
    376,420.64x = 519,453.95 × 206,653.55
  4. Step 4: Simplify right side
    376,420.64x = 107,346,999,198.49
  5. Step 5: Solve for x
    x = 107,346,999,198.49/376,420.64
  6. Step 6: Final answer
    x = 285,178.31

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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.