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Finding the Fourth Proportional to 493,318.71, 680,777.31 and 266,964.21

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Solution

The fourth proportional to 493,318.71, 680,777.31 and 266,964.21 is: 368,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,318.71 : 680,777.31 = 266,964.21 : x
  2. Step 2: Convert to fraction form
    493,318.71/680,777.31 = 266,964.21/x
  3. Step 3: Cross multiply
    493,318.71x = 680,777.31 × 266,964.21
  4. Step 4: Simplify right side
    493,318.71x = 181,743,176,750.08
  5. Step 5: Solve for x
    x = 181,743,176,750.08/493,318.71
  6. Step 6: Final answer
    x = 368,409.25

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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.