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Finding the Fourth Proportional to 309,794.78, 464,638.50 and 85,101.72

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Solution

The fourth proportional to 309,794.78, 464,638.50 and 85,101.72 is: 127,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,794.78 : 464,638.50 = 85,101.72 : x
  2. Step 2: Convert to fraction form
    309,794.78/464,638.50 = 85,101.72/x
  3. Step 3: Cross multiply
    309,794.78x = 464,638.50 × 85,101.72
  4. Step 4: Simplify right side
    309,794.78x = 39,541,535,528.22
  5. Step 5: Solve for x
    x = 39,541,535,528.22/309,794.78
  6. Step 6: Final answer
    x = 127,637.84

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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.