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Finding the Fourth Proportional to 320,417.56, 480,659.19 and 120,905.83

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Solution

The fourth proportional to 320,417.56, 480,659.19 and 120,905.83 is: 181,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,417.56 : 480,659.19 = 120,905.83 : x
  2. Step 2: Convert to fraction form
    320,417.56/480,659.19 = 120,905.83/x
  3. Step 3: Cross multiply
    320,417.56x = 480,659.19 × 120,905.83
  4. Step 4: Simplify right side
    320,417.56x = 58,114,498,314.08
  5. Step 5: Solve for x
    x = 58,114,498,314.08/320,417.56
  6. Step 6: Final answer
    x = 181,371.14

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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.