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Finding the Fourth Proportional to 218,321.60, 301,283.34 and 122,828.36

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Solution

The fourth proportional to 218,321.60, 301,283.34 and 122,828.36 is: 169,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321.60 : 301,283.34 = 122,828.36 : x
  2. Step 2: Convert to fraction form
    218,321.60/301,283.34 = 122,828.36/x
  3. Step 3: Cross multiply
    218,321.60x = 301,283.34 × 122,828.36
  4. Step 4: Simplify right side
    218,321.60x = 37,006,138,547.52
  5. Step 5: Solve for x
    x = 37,006,138,547.52/218,321.60
  6. Step 6: Final answer
    x = 169,502.87

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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.