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Finding the Fourth Proportional to 300,424.28, 414,586.64 and 164,470.87

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Solution

The fourth proportional to 300,424.28, 414,586.64 and 164,470.87 is: 226,970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,424.28 : 414,586.64 = 164,470.87 : x
  2. Step 2: Convert to fraction form
    300,424.28/414,586.64 = 164,470.87/x
  3. Step 3: Cross multiply
    300,424.28x = 414,586.64 × 164,470.87
  4. Step 4: Simplify right side
    300,424.28x = 68,187,425,371.18
  5. Step 5: Solve for x
    x = 68,187,425,371.18/300,424.28
  6. Step 6: Final answer
    x = 226,970.42

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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.