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Finding the Fourth Proportional to 312,271, 430,992.36 and 178,135

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Solution

The fourth proportional to 312,271, 430,992.36 and 178,135 is: 245,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,271 : 430,992.36 = 178,135 : x
  2. Step 2: Convert to fraction form
    312,271/430,992.36 = 178,135/x
  3. Step 3: Cross multiply
    312,271x = 430,992.36 × 178,135
  4. Step 4: Simplify right side
    312,271x = 76,774,824,048.60
  5. Step 5: Solve for x
    x = 76,774,824,048.60/312,271
  6. Step 6: Final answer
    x = 245,859.60

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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.