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Finding the Fourth Proportional to 216,715.20, 325,072.80 and 177,316.80

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Solution

The fourth proportional to 216,715.20, 325,072.80 and 177,316.80 is: 265,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,715.20 : 325,072.80 = 177,316.80 : x
  2. Step 2: Convert to fraction form
    216,715.20/325,072.80 = 177,316.80/x
  3. Step 3: Cross multiply
    216,715.20x = 325,072.80 × 177,316.80
  4. Step 4: Simplify right side
    216,715.20x = 57,640,868,663.04
  5. Step 5: Solve for x
    x = 57,640,868,663.04/216,715.20
  6. Step 6: Final answer
    x = 265,975.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.