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Finding the Fourth Proportional to 354,393, 489,062.34 and 195,417

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Solution

The fourth proportional to 354,393, 489,062.34 and 195,417 is: 269,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,393 : 489,062.34 = 195,417 : x
  2. Step 2: Convert to fraction form
    354,393/489,062.34 = 195,417/x
  3. Step 3: Cross multiply
    354,393x = 489,062.34 × 195,417
  4. Step 4: Simplify right side
    354,393x = 95,571,095,295.78
  5. Step 5: Solve for x
    x = 95,571,095,295.78/354,393
  6. Step 6: Final answer
    x = 269,675.46

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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.