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Finding the Fourth Proportional to 278,033.94, 383,686.62 and 150,709.50

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Solution

The fourth proportional to 278,033.94, 383,686.62 and 150,709.50 is: 207,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,033.94 : 383,686.62 = 150,709.50 : x
  2. Step 2: Convert to fraction form
    278,033.94/383,686.62 = 150,709.50/x
  3. Step 3: Cross multiply
    278,033.94x = 383,686.62 × 150,709.50
  4. Step 4: Simplify right side
    278,033.94x = 57,825,218,656.89
  5. Step 5: Solve for x
    x = 57,825,218,656.89/278,033.94
  6. Step 6: Final answer
    x = 207,978.99

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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.