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Finding the Fourth Proportional to 376,030, 518,921.40 and 206,264.52

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Solution

The fourth proportional to 376,030, 518,921.40 and 206,264.52 is: 284,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,030 : 518,921.40 = 206,264.52 : x
  2. Step 2: Convert to fraction form
    376,030/518,921.40 = 206,264.52/x
  3. Step 3: Cross multiply
    376,030x = 518,921.40 × 206,264.52
  4. Step 4: Simplify right side
    376,030x = 107,035,073,488.73
  5. Step 5: Solve for x
    x = 107,035,073,488.73/376,030
  6. Step 6: Final answer
    x = 284,645.04

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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.