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Finding the Fourth Proportional to 397,865.59, 549,067.76 and 223,466.47

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Solution

The fourth proportional to 397,865.59, 549,067.76 and 223,466.47 is: 308,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,865.59 : 549,067.76 = 223,466.47 : x
  2. Step 2: Convert to fraction form
    397,865.59/549,067.76 = 223,466.47/x
  3. Step 3: Cross multiply
    397,865.59x = 549,067.76 × 223,466.47
  4. Step 4: Simplify right side
    397,865.59x = 122,698,234,118.01
  5. Step 5: Solve for x
    x = 122,698,234,118.01/397,865.59
  6. Step 6: Final answer
    x = 308,391.17

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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.