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Finding the Fourth Proportional to 300,412.08, 414,382.01 and 185,725.80

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Solution

The fourth proportional to 300,412.08, 414,382.01 and 185,725.80 is: 256,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,412.08 : 414,382.01 = 185,725.80 : x
  2. Step 2: Convert to fraction form
    300,412.08/414,382.01 = 185,725.80/x
  3. Step 3: Cross multiply
    300,412.08x = 414,382.01 × 185,725.80
  4. Step 4: Simplify right side
    300,412.08x = 76,961,429,384.23
  5. Step 5: Solve for x
    x = 76,961,429,384.23/300,412.08
  6. Step 6: Final answer
    x = 256,186.20

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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.