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Finding the Fourth Proportional to 320,109.67, 480,293.60 and 142,495.20

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Solution

The fourth proportional to 320,109.67, 480,293.60 and 142,495.20 is: 213,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,109.67 : 480,293.60 = 142,495.20 : x
  2. Step 2: Convert to fraction form
    320,109.67/480,293.60 = 142,495.20/x
  3. Step 3: Cross multiply
    320,109.67x = 480,293.60 × 142,495.20
  4. Step 4: Simplify right side
    320,109.67x = 68,439,532,679.78
  5. Step 5: Solve for x
    x = 68,439,532,679.78/320,109.67
  6. Step 6: Final answer
    x = 213,800.27

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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.