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Finding the Fourth Proportional to 218,323.14, 301,261.83 and 122,828.22

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Solution

The fourth proportional to 218,323.14, 301,261.83 and 122,828.22 is: 169,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,323.14 : 301,261.83 = 122,828.22 : x
  2. Step 2: Convert to fraction form
    218,323.14/301,261.83 = 122,828.22/x
  3. Step 3: Cross multiply
    218,323.14x = 301,261.83 × 122,828.22
  4. Step 4: Simplify right side
    218,323.14x = 37,003,454,332.84
  5. Step 5: Solve for x
    x = 37,003,454,332.84/218,323.14
  6. Step 6: Final answer
    x = 169,489.38

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1.5x scale

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.