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Finding the Fourth Proportional to 397,963.40, 549,161.74 and 225,884.87

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Solution

The fourth proportional to 397,963.40, 549,161.74 and 225,884.87 is: 311,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,963.40 : 549,161.74 = 225,884.87 : x
  2. Step 2: Convert to fraction form
    397,963.40/549,161.74 = 225,884.87/x
  3. Step 3: Cross multiply
    397,963.40x = 549,161.74 × 225,884.87
  4. Step 4: Simplify right side
    397,963.40x = 124,047,327,844.78
  5. Step 5: Solve for x
    x = 124,047,327,844.78/397,963.40
  6. Step 6: Final answer
    x = 311,705.37

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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.