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Finding the Fourth Proportional to 309,877.60, 464,859.60 and 132,383.20

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Solution

The fourth proportional to 309,877.60, 464,859.60 and 132,383.20 is: 198,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,877.60 : 464,859.60 = 132,383.20 : x
  2. Step 2: Convert to fraction form
    309,877.60/464,859.60 = 132,383.20/x
  3. Step 3: Cross multiply
    309,877.60x = 464,859.60 × 132,383.20
  4. Step 4: Simplify right side
    309,877.60x = 61,539,601,398.72
  5. Step 5: Solve for x
    x = 61,539,601,398.72/309,877.60
  6. Step 6: Final answer
    x = 198,593.26

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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.