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Finding the Fourth Proportional to 309,655.97, 427,328.83 and 171,837.78

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Solution

The fourth proportional to 309,655.97, 427,328.83 and 171,837.78 is: 237,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,655.97 : 427,328.83 = 171,837.78 : x
  2. Step 2: Convert to fraction form
    309,655.97/427,328.83 = 171,837.78/x
  3. Step 3: Cross multiply
    309,655.97x = 427,328.83 × 171,837.78
  4. Step 4: Simplify right side
    309,655.97x = 73,431,237,477.20
  5. Step 5: Solve for x
    x = 73,431,237,477.20/309,655.97
  6. Step 6: Final answer
    x = 237,138.13

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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.