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Finding the Fourth Proportional to 309,644.16, 427,312.44 and 171,825.48

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Solution

The fourth proportional to 309,644.16, 427,312.44 and 171,825.48 is: 237,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,644.16 : 427,312.44 = 171,825.48 : x
  2. Step 2: Convert to fraction form
    309,644.16/427,312.44 = 171,825.48/x
  3. Step 3: Cross multiply
    309,644.16x = 427,312.44 × 171,825.48
  4. Step 4: Simplify right side
    309,644.16x = 73,423,165,112.97
  5. Step 5: Solve for x
    x = 73,423,165,112.97/309,644.16
  6. Step 6: Final answer
    x = 237,121.10

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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.