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Finding the Fourth Proportional to 305,905.78, 458,924.34 and 128,310.43

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Solution

The fourth proportional to 305,905.78, 458,924.34 and 128,310.43 is: 192,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,905.78 : 458,924.34 = 128,310.43 : x
  2. Step 2: Convert to fraction form
    305,905.78/458,924.34 = 128,310.43/x
  3. Step 3: Cross multiply
    305,905.78x = 458,924.34 × 128,310.43
  4. Step 4: Simplify right side
    305,905.78x = 58,884,779,402.87
  5. Step 5: Solve for x
    x = 58,884,779,402.87/305,905.78
  6. Step 6: Final answer
    x = 192,493.19

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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.