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Finding the Fourth Proportional to 370,675, 511,539.36 and 209,520.44

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Solution

The fourth proportional to 370,675, 511,539.36 and 209,520.44 is: 289,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,675 : 511,539.36 = 209,520.44 : x
  2. Step 2: Convert to fraction form
    370,675/511,539.36 = 209,520.44/x
  3. Step 3: Cross multiply
    370,675x = 511,539.36 × 209,520.44
  4. Step 4: Simplify right side
    370,675x = 107,177,951,784.52
  5. Step 5: Solve for x
    x = 107,177,951,784.52/370,675
  6. Step 6: Final answer
    x = 289,142.65

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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.