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Finding the Fourth Proportional to 492,998.60, 680,338.86 and 266,644.28

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Solution

The fourth proportional to 492,998.60, 680,338.86 and 266,644.28 is: 367,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,998.60 : 680,338.86 = 266,644.28 : x
  2. Step 2: Convert to fraction form
    492,998.60/680,338.86 = 266,644.28/x
  3. Step 3: Cross multiply
    492,998.60x = 680,338.86 × 266,644.28
  4. Step 4: Simplify right side
    492,998.60x = 181,408,465,480.72
  5. Step 5: Solve for x
    x = 181,408,465,480.72/492,998.60
  6. Step 6: Final answer
    x = 367,969.53

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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.