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Finding the Fourth Proportional to 686,768.76, 1,030,449.14 and 371,447.64

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Solution

The fourth proportional to 686,768.76, 1,030,449.14 and 371,447.64 is: 557,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,768.76 : 1,030,449.14 = 371,447.64 : x
  2. Step 2: Convert to fraction form
    686,768.76/1,030,449.14 = 371,447.64/x
  3. Step 3: Cross multiply
    686,768.76x = 1,030,449.14 × 371,447.64
  4. Step 4: Simplify right side
    686,768.76x = 382,757,901,193.03
  5. Step 5: Solve for x
    x = 382,757,901,193.03/686,768.76
  6. Step 6: Final answer
    x = 557,331.56

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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.