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Finding the Fourth Proportional to 309,852.80, 464,742.29 and 85,236.06

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Solution

The fourth proportional to 309,852.80, 464,742.29 and 85,236.06 is: 127,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,852.80 : 464,742.29 = 85,236.06 : x
  2. Step 2: Convert to fraction form
    309,852.80/464,742.29 = 85,236.06/x
  3. Step 3: Cross multiply
    309,852.80x = 464,742.29 × 85,236.06
  4. Step 4: Simplify right side
    309,852.80x = 39,612,799,749.59
  5. Step 5: Solve for x
    x = 39,612,799,749.59/309,852.80
  6. Step 6: Final answer
    x = 127,843.93

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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.