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Finding the Fourth Proportional to 407,525.48, 610,493 and 266,857.64

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Solution

The fourth proportional to 407,525.48, 610,493 and 266,857.64 is: 399,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,525.48 : 610,493 = 266,857.64 : x
  2. Step 2: Convert to fraction form
    407,525.48/610,493 = 266,857.64/x
  3. Step 3: Cross multiply
    407,525.48x = 610,493 × 266,857.64
  4. Step 4: Simplify right side
    407,525.48x = 162,914,721,216.52
  5. Step 5: Solve for x
    x = 162,914,721,216.52/407,525.48
  6. Step 6: Final answer
    x = 399,765.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.