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Finding the Fourth Proportional to 312,085.68, 430,975.68 and 295,083.48

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Solution

The fourth proportional to 312,085.68, 430,975.68 and 295,083.48 is: 407,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,085.68 : 430,975.68 = 295,083.48 : x
  2. Step 2: Convert to fraction form
    312,085.68/430,975.68 = 295,083.48/x
  3. Step 3: Cross multiply
    312,085.68x = 430,975.68 × 295,083.48
  4. Step 4: Simplify right side
    312,085.68x = 127,173,802,202.46
  5. Step 5: Solve for x
    x = 127,173,802,202.46/312,085.68
  6. Step 6: Final answer
    x = 407,496.44

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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.