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Finding the Fourth Proportional to 271,806.10, 406,931.55 and 166,830.10

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Solution

The fourth proportional to 271,806.10, 406,931.55 and 166,830.10 is: 249,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.10 : 406,931.55 = 166,830.10 : x
  2. Step 2: Convert to fraction form
    271,806.10/406,931.55 = 166,830.10/x
  3. Step 3: Cross multiply
    271,806.10x = 406,931.55 × 166,830.10
  4. Step 4: Simplify right side
    271,806.10x = 67,888,431,179.66
  5. Step 5: Solve for x
    x = 67,888,431,179.66/271,806.10
  6. Step 6: Final answer
    x = 249,767.87

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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.