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Finding the Fourth Proportional to 397,873, 549,064.74 and 228,163.24

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Solution

The fourth proportional to 397,873, 549,064.74 and 228,163.24 is: 314,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,873 : 549,064.74 = 228,163.24 : x
  2. Step 2: Convert to fraction form
    397,873/549,064.74 = 228,163.24/x
  3. Step 3: Cross multiply
    397,873x = 549,064.74 × 228,163.24
  4. Step 4: Simplify right side
    397,873x = 125,276,390,048.16
  5. Step 5: Solve for x
    x = 125,276,390,048.16/397,873
  6. Step 6: Final answer
    x = 314,865.27

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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.