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Finding the Fourth Proportional to 354,539.78, 489,264.08 and 193,394.81

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Solution

The fourth proportional to 354,539.78, 489,264.08 and 193,394.81 is: 266,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,539.78 : 489,264.08 = 193,394.81 : x
  2. Step 2: Convert to fraction form
    354,539.78/489,264.08 = 193,394.81/x
  3. Step 3: Cross multiply
    354,539.78x = 489,264.08 × 193,394.81
  4. Step 4: Simplify right side
    354,539.78x = 94,621,132,824.45
  5. Step 5: Solve for x
    x = 94,621,132,824.45/354,539.78
  6. Step 6: Final answer
    x = 266,884.39

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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.