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Finding the Fourth Proportional to 224,405.81, 309,707.40 and 128,912.27

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Solution

The fourth proportional to 224,405.81, 309,707.40 and 128,912.27 is: 177,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,405.81 : 309,707.40 = 128,912.27 : x
  2. Step 2: Convert to fraction form
    224,405.81/309,707.40 = 128,912.27/x
  3. Step 3: Cross multiply
    224,405.81x = 309,707.40 × 128,912.27
  4. Step 4: Simplify right side
    224,405.81x = 39,925,083,969.80
  5. Step 5: Solve for x
    x = 39,925,083,969.80/224,405.81
  6. Step 6: Final answer
    x = 177,914.66

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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.