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Finding the Fourth Proportional to 407,378, 562,181.66 and 228,530

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Solution

The fourth proportional to 407,378, 562,181.66 and 228,530 is: 315,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,378 : 562,181.66 = 228,530 : x
  2. Step 2: Convert to fraction form
    407,378/562,181.66 = 228,530/x
  3. Step 3: Cross multiply
    407,378x = 562,181.66 × 228,530
  4. Step 4: Simplify right side
    407,378x = 128,475,374,759.80
  5. Step 5: Solve for x
    x = 128,475,374,759.80/407,378
  6. Step 6: Final answer
    x = 315,371.41

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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.