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Finding the Fourth Proportional to 320,783.70, 442,651.52 and 191,696.55

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Solution

The fourth proportional to 320,783.70, 442,651.52 and 191,696.55 is: 264,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,783.70 : 442,651.52 = 191,696.55 : x
  2. Step 2: Convert to fraction form
    320,783.70/442,651.52 = 191,696.55/x
  3. Step 3: Cross multiply
    320,783.70x = 442,651.52 × 191,696.55
  4. Step 4: Simplify right side
    320,783.70x = 84,854,769,937.72
  5. Step 5: Solve for x
    x = 84,854,769,937.72/320,783.70
  6. Step 6: Final answer
    x = 264,523.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.