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Finding the Fourth Proportional to 274,878.32, 412,409.74 and 148,529.86

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Solution

The fourth proportional to 274,878.32, 412,409.74 and 148,529.86 is: 222,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,878.32 : 412,409.74 = 148,529.86 : x
  2. Step 2: Convert to fraction form
    274,878.32/412,409.74 = 148,529.86/x
  3. Step 3: Cross multiply
    274,878.32x = 412,409.74 × 148,529.86
  4. Step 4: Simplify right side
    274,878.32x = 61,255,160,944.84
  5. Step 5: Solve for x
    x = 61,255,160,944.84/274,878.32
  6. Step 6: Final answer
    x = 222,844.64

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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.