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Finding the Fourth Proportional to 300,705.46, 414,816.08 and 185,947.50

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Solution

The fourth proportional to 300,705.46, 414,816.08 and 185,947.50 is: 256,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,705.46 : 414,816.08 = 185,947.50 : x
  2. Step 2: Convert to fraction form
    300,705.46/414,816.08 = 185,947.50/x
  3. Step 3: Cross multiply
    300,705.46x = 414,816.08 × 185,947.50
  4. Step 4: Simplify right side
    300,705.46x = 77,134,010,496.85
  5. Step 5: Solve for x
    x = 77,134,010,496.85/300,705.46
  6. Step 6: Final answer
    x = 256,510.18

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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.