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Finding the Fourth Proportional to 371,968.21, 513,410.29 and 228,856.40

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Solution

The fourth proportional to 371,968.21, 513,410.29 and 228,856.40 is: 315,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,968.21 : 513,410.29 = 228,856.40 : x
  2. Step 2: Convert to fraction form
    371,968.21/513,410.29 = 228,856.40/x
  3. Step 3: Cross multiply
    371,968.21x = 513,410.29 × 228,856.40
  4. Step 4: Simplify right side
    371,968.21x = 117,497,229,478.45
  5. Step 5: Solve for x
    x = 117,497,229,478.45/371,968.21
  6. Step 6: Final answer
    x = 315,879.76

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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.