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Finding the Fourth Proportional to 320,425.40, 480,638.10 and 133,412.60

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Solution

The fourth proportional to 320,425.40, 480,638.10 and 133,412.60 is: 200,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,425.40 : 480,638.10 = 133,412.60 : x
  2. Step 2: Convert to fraction form
    320,425.40/480,638.10 = 133,412.60/x
  3. Step 3: Cross multiply
    320,425.40x = 480,638.10 × 133,412.60
  4. Step 4: Simplify right side
    320,425.40x = 64,123,178,580.06
  5. Step 5: Solve for x
    x = 64,123,178,580.06/320,425.40
  6. Step 6: Final answer
    x = 200,118.90

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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.