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Finding the Fourth Proportional to 407,377, 562,180.28 and 228,529

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Solution

The fourth proportional to 407,377, 562,180.28 and 228,529 is: 315,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,377 : 562,180.28 = 228,529 : x
  2. Step 2: Convert to fraction form
    407,377/562,180.28 = 228,529/x
  3. Step 3: Cross multiply
    407,377x = 562,180.28 × 228,529
  4. Step 4: Simplify right side
    407,377x = 128,474,497,208.12
  5. Step 5: Solve for x
    x = 128,474,497,208.12/407,377
  6. Step 6: Final answer
    x = 315,370.03

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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.