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Finding the Fourth Proportional to 397,870.32, 548,015.12 and 305,813.55

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Solution

The fourth proportional to 397,870.32, 548,015.12 and 305,813.55 is: 421,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,870.32 : 548,015.12 = 305,813.55 : x
  2. Step 2: Convert to fraction form
    397,870.32/548,015.12 = 305,813.55/x
  3. Step 3: Cross multiply
    397,870.32x = 548,015.12 × 305,813.55
  4. Step 4: Simplify right side
    397,870.32x = 167,590,447,771.81
  5. Step 5: Solve for x
    x = 167,590,447,771.81/397,870.32
  6. Step 6: Final answer
    x = 421,218.77

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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.