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Finding the Fourth Proportional to 320,146.53, 480,238.59 and 120,468.65

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Solution

The fourth proportional to 320,146.53, 480,238.59 and 120,468.65 is: 180,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,146.53 : 480,238.59 = 120,468.65 : x
  2. Step 2: Convert to fraction form
    320,146.53/480,238.59 = 120,468.65/x
  3. Step 3: Cross multiply
    320,146.53x = 480,238.59 × 120,468.65
  4. Step 4: Simplify right side
    320,146.53x = 57,853,694,615.20
  5. Step 5: Solve for x
    x = 57,853,694,615.20/320,146.53
  6. Step 6: Final answer
    x = 180,710.05

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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.