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Finding the Fourth Proportional to 312,702.72, 431,552.64 and 178,563.84

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Solution

The fourth proportional to 312,702.72, 431,552.64 and 178,563.84 is: 246,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,702.72 : 431,552.64 = 178,563.84 : x
  2. Step 2: Convert to fraction form
    312,702.72/431,552.64 = 178,563.84/x
  3. Step 3: Cross multiply
    312,702.72x = 431,552.64 × 178,563.84
  4. Step 4: Simplify right side
    312,702.72x = 77,059,696,560.54
  5. Step 5: Solve for x
    x = 77,059,696,560.54/312,702.72
  6. Step 6: Final answer
    x = 246,431.17

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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.