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Finding the Fourth Proportional to 271,289.40, 406,934.10 and 257,465.40

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Solution

The fourth proportional to 271,289.40, 406,934.10 and 257,465.40 is: 386,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,289.40 : 406,934.10 = 257,465.40 : x
  2. Step 2: Convert to fraction form
    271,289.40/406,934.10 = 257,465.40/x
  3. Step 3: Cross multiply
    271,289.40x = 406,934.10 × 257,465.40
  4. Step 4: Simplify right side
    271,289.40x = 104,771,450,830.14
  5. Step 5: Solve for x
    x = 104,771,450,830.14/271,289.40
  6. Step 6: Final answer
    x = 386,198.10

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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.