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Finding the Fourth Proportional to 492,830.20, 680,105.10 and 266,475.16

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Solution

The fourth proportional to 492,830.20, 680,105.10 and 266,475.16 is: 367,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,830.20 : 680,105.10 = 266,475.16 : x
  2. Step 2: Convert to fraction form
    492,830.20/680,105.10 = 266,475.16/x
  3. Step 3: Cross multiply
    492,830.20x = 680,105.10 × 266,475.16
  4. Step 4: Simplify right side
    492,830.20x = 181,231,115,339.32
  5. Step 5: Solve for x
    x = 181,231,115,339.32/492,830.20
  6. Step 6: Final answer
    x = 367,735.41

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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.