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Finding the Fourth Proportional to 411,985.44, 617,844.24 and 131,436

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Solution

The fourth proportional to 411,985.44, 617,844.24 and 131,436 is: 197,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,985.44 : 617,844.24 = 131,436 : x
  2. Step 2: Convert to fraction form
    411,985.44/617,844.24 = 131,436/x
  3. Step 3: Cross multiply
    411,985.44x = 617,844.24 × 131,436
  4. Step 4: Simplify right side
    411,985.44x = 81,206,975,528.64
  5. Step 5: Solve for x
    x = 81,206,975,528.64/411,985.44
  6. Step 6: Final answer
    x = 197,111.28

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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.