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Finding the Fourth Proportional to 320,903.52, 481,519.20 and 214,360.32

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Solution

The fourth proportional to 320,903.52, 481,519.20 and 214,360.32 is: 321,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,903.52 : 481,519.20 = 214,360.32 : x
  2. Step 2: Convert to fraction form
    320,903.52/481,519.20 = 214,360.32/x
  3. Step 3: Cross multiply
    320,903.52x = 481,519.20 × 214,360.32
  4. Step 4: Simplify right side
    320,903.52x = 103,218,609,798.14
  5. Step 5: Solve for x
    x = 103,218,609,798.14/320,903.52
  6. Step 6: Final answer
    x = 321,649.98

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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.