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Finding the Fourth Proportional to 278,041.94, 383,698.37 and 150,717.83

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Solution

The fourth proportional to 278,041.94, 383,698.37 and 150,717.83 is: 207,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,041.94 : 383,698.37 = 150,717.83 : x
  2. Step 2: Convert to fraction form
    278,041.94/383,698.37 = 150,717.83/x
  3. Step 3: Cross multiply
    278,041.94x = 383,698.37 × 150,717.83
  4. Step 4: Simplify right side
    278,041.94x = 57,830,184,947.35
  5. Step 5: Solve for x
    x = 57,830,184,947.35/278,041.94
  6. Step 6: Final answer
    x = 207,990.87

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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.