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Finding the Fourth Proportional to 492,789.60, 680,048.16 and 266,435.10

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Solution

The fourth proportional to 492,789.60, 680,048.16 and 266,435.10 is: 367,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,789.60 : 680,048.16 = 266,435.10 : x
  2. Step 2: Convert to fraction form
    492,789.60/680,048.16 = 266,435.10/x
  3. Step 3: Cross multiply
    492,789.60x = 680,048.16 × 266,435.10
  4. Step 4: Simplify right side
    492,789.60x = 181,188,699,514.42
  5. Step 5: Solve for x
    x = 181,188,699,514.42/492,789.60
  6. Step 6: Final answer
    x = 367,679.63

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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.