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Finding the Fourth Proportional to 300,687.78, 414,949.32 and 164,726.67

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Solution

The fourth proportional to 300,687.78, 414,949.32 and 164,726.67 is: 227,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,687.78 : 414,949.32 = 164,726.67 : x
  2. Step 2: Convert to fraction form
    300,687.78/414,949.32 = 164,726.67/x
  3. Step 3: Cross multiply
    300,687.78x = 414,949.32 × 164,726.67
  4. Step 4: Simplify right side
    300,687.78x = 68,353,219,702.36
  5. Step 5: Solve for x
    x = 68,353,219,702.36/300,687.78
  6. Step 6: Final answer
    x = 227,322.91

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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.