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Finding the Fourth Proportional to 354,357.42, 489,054.72 and 201,418.57

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Solution

The fourth proportional to 354,357.42, 489,054.72 and 201,418.57 is: 277,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,357.42 : 489,054.72 = 201,418.57 : x
  2. Step 2: Convert to fraction form
    354,357.42/489,054.72 = 201,418.57/x
  3. Step 3: Cross multiply
    354,357.42x = 489,054.72 × 201,418.57
  4. Step 4: Simplify right side
    354,357.42x = 98,504,702,354.15
  5. Step 5: Solve for x
    x = 98,504,702,354.15/354,357.42
  6. Step 6: Final answer
    x = 277,981.20

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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.