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Finding the Fourth Proportional to 431,349.40, 646,538.10 and 206,817.40

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Solution

The fourth proportional to 431,349.40, 646,538.10 and 206,817.40 is: 309,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,349.40 : 646,538.10 = 206,817.40 : x
  2. Step 2: Convert to fraction form
    431,349.40/646,538.10 = 206,817.40/x
  3. Step 3: Cross multiply
    431,349.40x = 646,538.10 × 206,817.40
  4. Step 4: Simplify right side
    431,349.40x = 133,715,328,842.94
  5. Step 5: Solve for x
    x = 133,715,328,842.94/431,349.40
  6. Step 6: Final answer
    x = 309,993.08

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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.