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Finding the Fourth Proportional to 271,809.20, 406,401.60 and 200,950.40

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Solution

The fourth proportional to 271,809.20, 406,401.60 and 200,950.40 is: 300,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,809.20 : 406,401.60 = 200,950.40 : x
  2. Step 2: Convert to fraction form
    271,809.20/406,401.60 = 200,950.40/x
  3. Step 3: Cross multiply
    271,809.20x = 406,401.60 × 200,950.40
  4. Step 4: Simplify right side
    271,809.20x = 81,666,564,080.64
  5. Step 5: Solve for x
    x = 81,666,564,080.64/271,809.20
  6. Step 6: Final answer
    x = 300,455.48

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1.5x scale

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.