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Finding the Fourth Proportional to 312,676.44, 431,492.40 and 169,440

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Solution

The fourth proportional to 312,676.44, 431,492.40 and 169,440 is: 233,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,676.44 : 431,492.40 = 169,440 : x
  2. Step 2: Convert to fraction form
    312,676.44/431,492.40 = 169,440/x
  3. Step 3: Cross multiply
    312,676.44x = 431,492.40 × 169,440
  4. Step 4: Simplify right side
    312,676.44x = 73,112,072,256
  5. Step 5: Solve for x
    x = 73,112,072,256/312,676.44
  6. Step 6: Final answer
    x = 233,826.61

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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.