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Finding the Fourth Proportional to 354,242.74, 531,266.82 and 211,975.96

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Solution

The fourth proportional to 354,242.74, 531,266.82 and 211,975.96 is: 317,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,242.74 : 531,266.82 = 211,975.96 : x
  2. Step 2: Convert to fraction form
    354,242.74/531,266.82 = 211,975.96/x
  3. Step 3: Cross multiply
    354,242.74x = 531,266.82 × 211,975.96
  4. Step 4: Simplify right side
    354,242.74x = 112,615,794,185.65
  5. Step 5: Solve for x
    x = 112,615,794,185.65/354,242.74
  6. Step 6: Final answer
    x = 317,905.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.