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Finding the Fourth Proportional to 492,796.40, 680,060 and 266,441.90

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Solution

The fourth proportional to 492,796.40, 680,060 and 266,441.90 is: 367,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,796.40 : 680,060 = 266,441.90 : x
  2. Step 2: Convert to fraction form
    492,796.40/680,060 = 266,441.90/x
  3. Step 3: Cross multiply
    492,796.40x = 680,060 × 266,441.90
  4. Step 4: Simplify right side
    492,796.40x = 181,196,478,514.00
  5. Step 5: Solve for x
    x = 181,196,478,514.00/492,796.40
  6. Step 6: Final answer
    x = 367,690.35

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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.