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Finding the Fourth Proportional to 320,432.40, 480,648.60 and 133,419.60

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Solution

The fourth proportional to 320,432.40, 480,648.60 and 133,419.60 is: 200,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,432.40 : 480,648.60 = 133,419.60 : x
  2. Step 2: Convert to fraction form
    320,432.40/480,648.60 = 133,419.60/x
  3. Step 3: Cross multiply
    320,432.40x = 480,648.60 × 133,419.60
  4. Step 4: Simplify right side
    320,432.40x = 64,127,943,952.56
  5. Step 5: Solve for x
    x = 64,127,943,952.56/320,432.40
  6. Step 6: Final answer
    x = 200,129.40

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1.5x scale

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.