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Finding the Fourth Proportional to 313,129.50, 432,106.11 and 169,884.06

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Solution

The fourth proportional to 313,129.50, 432,106.11 and 169,884.06 is: 234,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,129.50 : 432,106.11 = 169,884.06 : x
  2. Step 2: Convert to fraction form
    313,129.50/432,106.11 = 169,884.06/x
  3. Step 3: Cross multiply
    313,129.50x = 432,106.11 × 169,884.06
  4. Step 4: Simplify right side
    313,129.50x = 73,407,940,317.61
  5. Step 5: Solve for x
    x = 73,407,940,317.61/313,129.50
  6. Step 6: Final answer
    x = 234,433.17

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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.