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Finding the Fourth Proportional to 315,726, 435,721.98 and 179,771.82

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Solution

The fourth proportional to 315,726, 435,721.98 and 179,771.82 is: 248,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,726 : 435,721.98 = 179,771.82 : x
  2. Step 2: Convert to fraction form
    315,726/435,721.98 = 179,771.82/x
  3. Step 3: Cross multiply
    315,726x = 435,721.98 × 179,771.82
  4. Step 4: Simplify right side
    315,726x = 78,330,533,358.60
  5. Step 5: Solve for x
    x = 78,330,533,358.60/315,726
  6. Step 6: Final answer
    x = 248,096.56

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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.