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Finding the Fourth Proportional to 309,656.48, 427,329.53 and 171,838.28

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Solution

The fourth proportional to 309,656.48, 427,329.53 and 171,838.28 is: 237,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,656.48 : 427,329.53 = 171,838.28 : x
  2. Step 2: Convert to fraction form
    309,656.48/427,329.53 = 171,838.28/x
  3. Step 3: Cross multiply
    309,656.48x = 427,329.53 × 171,838.28
  4. Step 4: Simplify right side
    309,656.48x = 73,431,568,432.57
  5. Step 5: Solve for x
    x = 73,431,568,432.57/309,656.48
  6. Step 6: Final answer
    x = 237,138.81

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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.