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Finding the Fourth Proportional to 271,428.40, 406,948.20 and 113,575.60

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Solution

The fourth proportional to 271,428.40, 406,948.20 and 113,575.60 is: 170,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,428.40 : 406,948.20 = 113,575.60 : x
  2. Step 2: Convert to fraction form
    271,428.40/406,948.20 = 113,575.60/x
  3. Step 3: Cross multiply
    271,428.40x = 406,948.20 × 113,575.60
  4. Step 4: Simplify right side
    271,428.40x = 46,219,385,983.92
  5. Step 5: Solve for x
    x = 46,219,385,983.92/271,428.40
  6. Step 6: Final answer
    x = 170,282.06

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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.