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Finding the Fourth Proportional to 218,314.83, 301,250.09 and 122,819.48

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Solution

The fourth proportional to 218,314.83, 301,250.09 and 122,819.48 is: 169,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,314.83 : 301,250.09 = 122,819.48 : x
  2. Step 2: Convert to fraction form
    218,314.83/301,250.09 = 122,819.48/x
  3. Step 3: Cross multiply
    218,314.83x = 301,250.09 × 122,819.48
  4. Step 4: Simplify right side
    218,314.83x = 36,999,377,283.41
  5. Step 5: Solve for x
    x = 36,999,377,283.41/218,314.83
  6. Step 6: Final answer
    x = 169,477.16

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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.