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Finding the Fourth Proportional to 309,895.09, 464,781.43 and 85,197.58

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Solution

The fourth proportional to 309,895.09, 464,781.43 and 85,197.58 is: 127,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,895.09 : 464,781.43 = 85,197.58 : x
  2. Step 2: Convert to fraction form
    309,895.09/464,781.43 = 85,197.58/x
  3. Step 3: Cross multiply
    309,895.09x = 464,781.43 × 85,197.58
  4. Step 4: Simplify right side
    309,895.09x = 39,598,253,064.94
  5. Step 5: Solve for x
    x = 39,598,253,064.94/309,895.09
  6. Step 6: Final answer
    x = 127,779.54

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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.