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Finding the Fourth Proportional to 777,926, 1,073,538.84 and 420,230

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Solution

The fourth proportional to 777,926, 1,073,538.84 and 420,230 is: 579,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,926 : 1,073,538.84 = 420,230 : x
  2. Step 2: Convert to fraction form
    777,926/1,073,538.84 = 420,230/x
  3. Step 3: Cross multiply
    777,926x = 1,073,538.84 × 420,230
  4. Step 4: Simplify right side
    777,926x = 451,133,226,733.20
  5. Step 5: Solve for x
    x = 451,133,226,733.20/777,926
  6. Step 6: Final answer
    x = 579,917.92

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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.