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Finding the Fourth Proportional to 320,573.24, 480,903.60 and 133,541

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Solution

The fourth proportional to 320,573.24, 480,903.60 and 133,541 is: 200,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,573.24 : 480,903.60 = 133,541 : x
  2. Step 2: Convert to fraction form
    320,573.24/480,903.60 = 133,541/x
  3. Step 3: Cross multiply
    320,573.24x = 480,903.60 × 133,541
  4. Step 4: Simplify right side
    320,573.24x = 64,220,347,647.60
  5. Step 5: Solve for x
    x = 64,220,347,647.60/320,573.24
  6. Step 6: Final answer
    x = 200,329.72

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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.