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Finding the Fourth Proportional to 300,955.18, 415,315.50 and 164,986.65

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Solution

The fourth proportional to 300,955.18, 415,315.50 and 164,986.65 is: 227,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,955.18 : 415,315.50 = 164,986.65 : x
  2. Step 2: Convert to fraction form
    300,955.18/415,315.50 = 164,986.65/x
  3. Step 3: Cross multiply
    300,955.18x = 415,315.50 × 164,986.65
  4. Step 4: Simplify right side
    300,955.18x = 68,521,513,976.81
  5. Step 5: Solve for x
    x = 68,521,513,976.81/300,955.18
  6. Step 6: Final answer
    x = 227,680.13

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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.