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Finding the Fourth Proportional to 354,392, 489,060.96 and 195,416

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Solution

The fourth proportional to 354,392, 489,060.96 and 195,416 is: 269,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,392 : 489,060.96 = 195,416 : x
  2. Step 2: Convert to fraction form
    354,392/489,060.96 = 195,416/x
  3. Step 3: Cross multiply
    354,392x = 489,060.96 × 195,416
  4. Step 4: Simplify right side
    354,392x = 95,570,336,559.36
  5. Step 5: Solve for x
    x = 95,570,336,559.36/354,392
  6. Step 6: Final answer
    x = 269,674.08

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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.