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Finding the Fourth Proportional to 313,443, 432,539.20 and 170,199.84

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Solution

The fourth proportional to 313,443, 432,539.20 and 170,199.84 is: 234,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,443 : 432,539.20 = 170,199.84 : x
  2. Step 2: Convert to fraction form
    313,443/432,539.20 = 170,199.84/x
  3. Step 3: Cross multiply
    313,443x = 432,539.20 × 170,199.84
  4. Step 4: Simplify right side
    313,443x = 73,618,102,633.73
  5. Step 5: Solve for x
    x = 73,618,102,633.73/313,443
  6. Step 6: Final answer
    x = 234,869.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.