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Finding the Fourth Proportional to 406,096.80, 608,999.40 and 206,350.80

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Solution

The fourth proportional to 406,096.80, 608,999.40 and 206,350.80 is: 309,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,096.80 : 608,999.40 = 206,350.80 : x
  2. Step 2: Convert to fraction form
    406,096.80/608,999.40 = 206,350.80/x
  3. Step 3: Cross multiply
    406,096.80x = 608,999.40 × 206,350.80
  4. Step 4: Simplify right side
    406,096.80x = 125,667,513,389.52
  5. Step 5: Solve for x
    x = 125,667,513,389.52/406,096.80
  6. Step 6: Final answer
    x = 309,452.11

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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.