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Finding the Fourth Proportional to 231,955.74, 320,106.78 and 221,326.92

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Solution

The fourth proportional to 231,955.74, 320,106.78 and 221,326.92 is: 305,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,955.74 : 320,106.78 = 221,326.92 : x
  2. Step 2: Convert to fraction form
    231,955.74/320,106.78 = 221,326.92/x
  3. Step 3: Cross multiply
    231,955.74x = 320,106.78 × 221,326.92
  4. Step 4: Simplify right side
    231,955.74x = 70,848,247,688.52
  5. Step 5: Solve for x
    x = 70,848,247,688.52/231,955.74
  6. Step 6: Final answer
    x = 305,438.65

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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.