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Finding the Fourth Proportional to 313,780.08, 433,023.12 and 192,989.64

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Solution

The fourth proportional to 313,780.08, 433,023.12 and 192,989.64 is: 266,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,780.08 : 433,023.12 = 192,989.64 : x
  2. Step 2: Convert to fraction form
    313,780.08/433,023.12 = 192,989.64/x
  3. Step 3: Cross multiply
    313,780.08x = 433,023.12 × 192,989.64
  4. Step 4: Simplify right side
    313,780.08x = 83,568,976,040.48
  5. Step 5: Solve for x
    x = 83,568,976,040.48/313,780.08
  6. Step 6: Final answer
    x = 266,329.77

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1.5x scale

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.