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Finding the Fourth Proportional to 354,594.21, 489,341.16 and 193,452.64

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Solution

The fourth proportional to 354,594.21, 489,341.16 and 193,452.64 is: 266,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,594.21 : 489,341.16 = 193,452.64 : x
  2. Step 2: Convert to fraction form
    354,594.21/489,341.16 = 193,452.64/x
  3. Step 3: Cross multiply
    354,594.21x = 489,341.16 × 193,452.64
  4. Step 4: Simplify right side
    354,594.21x = 94,664,339,262.66
  5. Step 5: Solve for x
    x = 94,664,339,262.66/354,594.21
  6. Step 6: Final answer
    x = 266,965.27

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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.