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Finding the Fourth Proportional to 320,778, 442,790.28 and 186,642

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Solution

The fourth proportional to 320,778, 442,790.28 and 186,642 is: 257,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,778 : 442,790.28 = 186,642 : x
  2. Step 2: Convert to fraction form
    320,778/442,790.28 = 186,642/x
  3. Step 3: Cross multiply
    320,778x = 442,790.28 × 186,642
  4. Step 4: Simplify right side
    320,778x = 82,643,263,439.76
  5. Step 5: Solve for x
    x = 82,643,263,439.76/320,778
  6. Step 6: Final answer
    x = 257,633.83

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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.