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Finding the Fourth Proportional to 431,653.08, 646,925.50 and 206,676.39

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Solution

The fourth proportional to 431,653.08, 646,925.50 and 206,676.39 is: 309,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,653.08 : 646,925.50 = 206,676.39 : x
  2. Step 2: Convert to fraction form
    431,653.08/646,925.50 = 206,676.39/x
  3. Step 3: Cross multiply
    431,653.08x = 646,925.50 × 206,676.39
  4. Step 4: Simplify right side
    431,653.08x = 133,704,226,938.95
  5. Step 5: Solve for x
    x = 133,704,226,938.95/431,653.08
  6. Step 6: Final answer
    x = 309,749.27

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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.