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Finding the Fourth Proportional to 271,205.80, 405,656.70 and 243,327.40

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Solution

The fourth proportional to 271,205.80, 405,656.70 and 243,327.40 is: 363,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,205.80 : 405,656.70 = 243,327.40 : x
  2. Step 2: Convert to fraction form
    271,205.80/405,656.70 = 243,327.40/x
  3. Step 3: Cross multiply
    271,205.80x = 405,656.70 × 243,327.40
  4. Step 4: Simplify right side
    271,205.80x = 98,707,390,103.58
  5. Step 5: Solve for x
    x = 98,707,390,103.58/271,205.80
  6. Step 6: Final answer
    x = 363,957.52

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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.