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Finding the Fourth Proportional to 278,009.94, 416,865 and 149,994.84

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Solution

The fourth proportional to 278,009.94, 416,865 and 149,994.84 is: 224,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,009.94 : 416,865 = 149,994.84 : x
  2. Step 2: Convert to fraction form
    278,009.94/416,865 = 149,994.84/x
  3. Step 3: Cross multiply
    278,009.94x = 416,865 × 149,994.84
  4. Step 4: Simplify right side
    278,009.94x = 62,527,598,976.60
  5. Step 5: Solve for x
    x = 62,527,598,976.60/278,009.94
  6. Step 6: Final answer
    x = 224,911.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.