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Finding the Fourth Proportional to 218,615.12, 301,828.16 and 178,424.74

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Solution

The fourth proportional to 218,615.12, 301,828.16 and 178,424.74 is: 246,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,615.12 : 301,828.16 = 178,424.74 : x
  2. Step 2: Convert to fraction form
    218,615.12/301,828.16 = 178,424.74/x
  3. Step 3: Cross multiply
    218,615.12x = 301,828.16 × 178,424.74
  4. Step 4: Simplify right side
    218,615.12x = 53,853,610,972.68
  5. Step 5: Solve for x
    x = 53,853,610,972.68/218,615.12
  6. Step 6: Final answer
    x = 246,339.83

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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.