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Finding the Fourth Proportional to 431,376.39, 647,066.25 and 131,855.81

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Solution

The fourth proportional to 431,376.39, 647,066.25 and 131,855.81 is: 197,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,376.39 : 647,066.25 = 131,855.81 : x
  2. Step 2: Convert to fraction form
    431,376.39/647,066.25 = 131,855.81/x
  3. Step 3: Cross multiply
    431,376.39x = 647,066.25 × 131,855.81
  4. Step 4: Simplify right side
    431,376.39x = 85,319,441,282.08
  5. Step 5: Solve for x
    x = 85,319,441,282.08/431,376.39
  6. Step 6: Final answer
    x = 197,784.22

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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.