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Finding the Fourth Proportional to 397,199.42, 548,399.12 and 305,154.74

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Solution

The fourth proportional to 397,199.42, 548,399.12 and 305,154.74 is: 421,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,199.42 : 548,399.12 = 305,154.74 : x
  2. Step 2: Convert to fraction form
    397,199.42/548,399.12 = 305,154.74/x
  3. Step 3: Cross multiply
    397,199.42x = 548,399.12 × 305,154.74
  4. Step 4: Simplify right side
    397,199.42x = 167,346,590,879.83
  5. Step 5: Solve for x
    x = 167,346,590,879.83/397,199.42
  6. Step 6: Final answer
    x = 421,316.30

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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.