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Finding the Fourth Proportional to 492,766.80, 680,018.94 and 266,412.30

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Solution

The fourth proportional to 492,766.80, 680,018.94 and 266,412.30 is: 367,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,766.80 : 680,018.94 = 266,412.30 : x
  2. Step 2: Convert to fraction form
    492,766.80/680,018.94 = 266,412.30/x
  3. Step 3: Cross multiply
    492,766.80x = 680,018.94 × 266,412.30
  4. Step 4: Simplify right side
    492,766.80x = 181,165,409,848.96
  5. Step 5: Solve for x
    x = 181,165,409,848.96/492,766.80
  6. Step 6: Final answer
    x = 367,649.38

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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.