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Finding the Fourth Proportional to 300,685.15, 414,944.29 and 164,718.91

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Solution

The fourth proportional to 300,685.15, 414,944.29 and 164,718.91 is: 227,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,685.15 : 414,944.29 = 164,718.91 : x
  2. Step 2: Convert to fraction form
    300,685.15/414,944.29 = 164,718.91/x
  3. Step 3: Cross multiply
    300,685.15x = 414,944.29 × 164,718.91
  4. Step 4: Simplify right side
    300,685.15x = 68,349,171,159.52
  5. Step 5: Solve for x
    x = 68,349,171,159.52/300,685.15
  6. Step 6: Final answer
    x = 227,311.43

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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.