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Finding the Fourth Proportional to 235,415, 324,866.76 and 127,982.54

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Solution

The fourth proportional to 235,415, 324,866.76 and 127,982.54 is: 176,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,415 : 324,866.76 = 127,982.54 : x
  2. Step 2: Convert to fraction form
    235,415/324,866.76 = 127,982.54/x
  3. Step 3: Cross multiply
    235,415x = 324,866.76 × 127,982.54
  4. Step 4: Simplify right side
    235,415x = 41,577,273,106.37
  5. Step 5: Solve for x
    x = 41,577,273,106.37/235,415
  6. Step 6: Final answer
    x = 176,612.68

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1.5x scale

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.