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Finding the Fourth Proportional to 548,453.40, 822,065.70 and 311,909.40

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Solution

The fourth proportional to 548,453.40, 822,065.70 and 311,909.40 is: 467,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,453.40 : 822,065.70 = 311,909.40 : x
  2. Step 2: Convert to fraction form
    548,453.40/822,065.70 = 311,909.40/x
  3. Step 3: Cross multiply
    548,453.40x = 822,065.70 × 311,909.40
  4. Step 4: Simplify right side
    548,453.40x = 256,410,019,247.58
  5. Step 5: Solve for x
    x = 256,410,019,247.58/548,453.40
  6. Step 6: Final answer
    x = 467,514.69

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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.