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Finding the Fourth Proportional to 431,673.84, 646,956.60 and 206,697.16

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Solution

The fourth proportional to 431,673.84, 646,956.60 and 206,697.16 is: 309,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,673.84 : 646,956.60 = 206,697.16 : x
  2. Step 2: Convert to fraction form
    431,673.84/646,956.60 = 206,697.16/x
  3. Step 3: Cross multiply
    431,673.84x = 646,956.60 × 206,697.16
  4. Step 4: Simplify right side
    431,673.84x = 133,724,091,863.26
  5. Step 5: Solve for x
    x = 133,724,091,863.26/431,673.84
  6. Step 6: Final answer
    x = 309,780.39

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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.