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Finding the Fourth Proportional to 271,519.60, 407,317.80 and 84,511.60

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Solution

The fourth proportional to 271,519.60, 407,317.80 and 84,511.60 is: 126,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,519.60 : 407,317.80 = 84,511.60 : x
  2. Step 2: Convert to fraction form
    271,519.60/407,317.80 = 84,511.60/x
  3. Step 3: Cross multiply
    271,519.60x = 407,317.80 × 84,511.60
  4. Step 4: Simplify right side
    271,519.60x = 34,423,078,986.48
  5. Step 5: Solve for x
    x = 34,423,078,986.48/271,519.60
  6. Step 6: Final answer
    x = 126,779.35

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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.