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Finding the Fourth Proportional to 311,112, 429,358.19 and 188,640

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Solution

The fourth proportional to 311,112, 429,358.19 and 188,640 is: 260,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,112 : 429,358.19 = 188,640 : x
  2. Step 2: Convert to fraction form
    311,112/429,358.19 = 188,640/x
  3. Step 3: Cross multiply
    311,112x = 429,358.19 × 188,640
  4. Step 4: Simplify right side
    311,112x = 80,994,128,018.40
  5. Step 5: Solve for x
    x = 80,994,128,018.40/311,112
  6. Step 6: Final answer
    x = 260,337.52

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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.