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Finding the Fourth Proportional to 291,259.94, 402,063.08 and 195,822

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Solution

The fourth proportional to 291,259.94, 402,063.08 and 195,822 is: 270,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,259.94 : 402,063.08 = 195,822 : x
  2. Step 2: Convert to fraction form
    291,259.94/402,063.08 = 195,822/x
  3. Step 3: Cross multiply
    291,259.94x = 402,063.08 × 195,822
  4. Step 4: Simplify right side
    291,259.94x = 78,732,795,472.65
  5. Step 5: Solve for x
    x = 78,732,795,472.65/291,259.94
  6. Step 6: Final answer
    x = 270,317.97

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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.