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Finding the Fourth Proportional to 397,967.85, 549,167.94 and 225,889.38

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Solution

The fourth proportional to 397,967.85, 549,167.94 and 225,889.38 is: 311,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,967.85 : 549,167.94 = 225,889.38 : x
  2. Step 2: Convert to fraction form
    397,967.85/549,167.94 = 225,889.38/x
  3. Step 3: Cross multiply
    397,967.85x = 549,167.94 × 225,889.38
  4. Step 4: Simplify right side
    397,967.85x = 124,051,205,482.48
  5. Step 5: Solve for x
    x = 124,051,205,482.48/397,967.85
  6. Step 6: Final answer
    x = 311,711.63

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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.