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Finding the Fourth Proportional to 298,320.80, 446,314.80 and 193,344.80

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Solution

The fourth proportional to 298,320.80, 446,314.80 and 193,344.80 is: 289,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,320.80 : 446,314.80 = 193,344.80 : x
  2. Step 2: Convert to fraction form
    298,320.80/446,314.80 = 193,344.80/x
  3. Step 3: Cross multiply
    298,320.80x = 446,314.80 × 193,344.80
  4. Step 4: Simplify right side
    298,320.80x = 86,292,645,743.04
  5. Step 5: Solve for x
    x = 86,292,645,743.04/298,320.80
  6. Step 6: Final answer
    x = 289,261.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.