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Finding the Fourth Proportional to 312,984, 431,917.92 and 178,848

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Solution

The fourth proportional to 312,984, 431,917.92 and 178,848 is: 246,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,984 : 431,917.92 = 178,848 : x
  2. Step 2: Convert to fraction form
    312,984/431,917.92 = 178,848/x
  3. Step 3: Cross multiply
    312,984x = 431,917.92 × 178,848
  4. Step 4: Simplify right side
    312,984x = 77,247,656,156.16
  5. Step 5: Solve for x
    x = 77,247,656,156.16/312,984
  6. Step 6: Final answer
    x = 246,810.24

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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.