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Finding the Fourth Proportional to 321,507.64, 482,096.22 and 188,649.82

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Solution

The fourth proportional to 321,507.64, 482,096.22 and 188,649.82 is: 282,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,507.64 : 482,096.22 = 188,649.82 : x
  2. Step 2: Convert to fraction form
    321,507.64/482,096.22 = 188,649.82/x
  3. Step 3: Cross multiply
    321,507.64x = 482,096.22 × 188,649.82
  4. Step 4: Simplify right side
    321,507.64x = 90,947,365,125.68
  5. Step 5: Solve for x
    x = 90,947,365,125.68/321,507.64
  6. Step 6: Final answer
    x = 282,877.77

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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.