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Finding the Fourth Proportional to 320,486.42, 480,390.64 and 120,720.37

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Solution

The fourth proportional to 320,486.42, 480,390.64 and 120,720.37 is: 180,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,486.42 : 480,390.64 = 120,720.37 : x
  2. Step 2: Convert to fraction form
    320,486.42/480,390.64 = 120,720.37/x
  3. Step 3: Cross multiply
    320,486.42x = 480,390.64 × 120,720.37
  4. Step 4: Simplify right side
    320,486.42x = 57,992,935,805.34
  5. Step 5: Solve for x
    x = 57,992,935,805.34/320,486.42
  6. Step 6: Final answer
    x = 180,952.86

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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.