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Finding the Fourth Proportional to 354,613.65, 489,348.86 and 193,467.39

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Solution

The fourth proportional to 354,613.65, 489,348.86 and 193,467.39 is: 266,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,613.65 : 489,348.86 = 193,467.39 : x
  2. Step 2: Convert to fraction form
    354,613.65/489,348.86 = 193,467.39/x
  3. Step 3: Cross multiply
    354,613.65x = 489,348.86 × 193,467.39
  4. Step 4: Simplify right side
    354,613.65x = 94,673,045,776.34
  5. Step 5: Solve for x
    x = 94,673,045,776.34/354,613.65
  6. Step 6: Final answer
    x = 266,975.19

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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.