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Finding the Fourth Proportional to 451,989.65, 677,965.04 and 136,437.14

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Solution

The fourth proportional to 451,989.65, 677,965.04 and 136,437.14 is: 204,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,989.65 : 677,965.04 = 136,437.14 : x
  2. Step 2: Convert to fraction form
    451,989.65/677,965.04 = 136,437.14/x
  3. Step 3: Cross multiply
    451,989.65x = 677,965.04 × 136,437.14
  4. Step 4: Simplify right side
    451,989.65x = 92,499,612,090.31
  5. Step 5: Solve for x
    x = 92,499,612,090.31/451,989.65
  6. Step 6: Final answer
    x = 204,649.84

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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.