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Finding the Fourth Proportional to 278,038.44, 383,695.79 and 150,713.73

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Solution

The fourth proportional to 278,038.44, 383,695.79 and 150,713.73 is: 207,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,038.44 : 383,695.79 = 150,713.73 : x
  2. Step 2: Convert to fraction form
    278,038.44/383,695.79 = 150,713.73/x
  3. Step 3: Cross multiply
    278,038.44x = 383,695.79 × 150,713.73
  4. Step 4: Simplify right side
    278,038.44x = 57,828,222,942.63
  5. Step 5: Solve for x
    x = 57,828,222,942.63/278,038.44
  6. Step 6: Final answer
    x = 207,986.43

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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.