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Finding the Fourth Proportional to 397,875, 549,067.50 and 228,165.24

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Solution

The fourth proportional to 397,875, 549,067.50 and 228,165.24 is: 314,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,875 : 549,067.50 = 228,165.24 : x
  2. Step 2: Convert to fraction form
    397,875/549,067.50 = 228,165.24/x
  3. Step 3: Cross multiply
    397,875x = 549,067.50 × 228,165.24
  4. Step 4: Simplify right side
    397,875x = 125,278,117,913.70
  5. Step 5: Solve for x
    x = 125,278,117,913.70/397,875
  6. Step 6: Final answer
    x = 314,868.03

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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.