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Finding the Fourth Proportional to 300,509.78, 414,701.98 and 164,541.26

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Solution

The fourth proportional to 300,509.78, 414,701.98 and 164,541.26 is: 227,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,509.78 : 414,701.98 = 164,541.26 : x
  2. Step 2: Convert to fraction form
    300,509.78/414,701.98 = 164,541.26/x
  3. Step 3: Cross multiply
    300,509.78x = 414,701.98 × 164,541.26
  4. Step 4: Simplify right side
    300,509.78x = 68,235,586,313.69
  5. Step 5: Solve for x
    x = 68,235,586,313.69/300,509.78
  6. Step 6: Final answer
    x = 227,066.11

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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.