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Finding the Fourth Proportional to 300,448.74, 414,900.32 and 193,205.10

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Solution

The fourth proportional to 300,448.74, 414,900.32 and 193,205.10 is: 266,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,448.74 : 414,900.32 = 193,205.10 : x
  2. Step 2: Convert to fraction form
    300,448.74/414,900.32 = 193,205.10/x
  3. Step 3: Cross multiply
    300,448.74x = 414,900.32 × 193,205.10
  4. Step 4: Simplify right side
    300,448.74x = 80,160,857,815.63
  5. Step 5: Solve for x
    x = 80,160,857,815.63/300,448.74
  6. Step 6: Final answer
    x = 266,803.77

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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.