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Finding the Fourth Proportional to 320,879.64, 480,985.47 and 107,486.76

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Solution

The fourth proportional to 320,879.64, 480,985.47 and 107,486.76 is: 161,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,879.64 : 480,985.47 = 107,486.76 : x
  2. Step 2: Convert to fraction form
    320,879.64/480,985.47 = 107,486.76/x
  3. Step 3: Cross multiply
    320,879.64x = 480,985.47 × 107,486.76
  4. Step 4: Simplify right side
    320,879.64x = 51,699,569,777.38
  5. Step 5: Solve for x
    x = 51,699,569,777.38/320,879.64
  6. Step 6: Final answer
    x = 161,118.26

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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.