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Finding the Fourth Proportional to 312,600, 431,396.82 and 176,639.70

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Solution

The fourth proportional to 312,600, 431,396.82 and 176,639.70 is: 243,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,600 : 431,396.82 = 176,639.70 : x
  2. Step 2: Convert to fraction form
    312,600/431,396.82 = 176,639.70/x
  3. Step 3: Cross multiply
    312,600x = 431,396.82 × 176,639.70
  4. Step 4: Simplify right side
    312,600x = 76,201,804,865.75
  5. Step 5: Solve for x
    x = 76,201,804,865.75/312,600
  6. Step 6: Final answer
    x = 243,767.77

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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.