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Finding the Fourth Proportional to 777,194.78, 1,072,486.02 and 428,266.48

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Solution

The fourth proportional to 777,194.78, 1,072,486.02 and 428,266.48 is: 590,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,194.78 : 1,072,486.02 = 428,266.48 : x
  2. Step 2: Convert to fraction form
    777,194.78/1,072,486.02 = 428,266.48/x
  3. Step 3: Cross multiply
    777,194.78x = 1,072,486.02 × 428,266.48
  4. Step 4: Simplify right side
    777,194.78x = 459,309,812,634.61
  5. Step 5: Solve for x
    x = 459,309,812,634.61/777,194.78
  6. Step 6: Final answer
    x = 590,984.17

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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.