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Finding the Fourth Proportional to 331,698, 457,743.56 and 180,795.60

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Solution

The fourth proportional to 331,698, 457,743.56 and 180,795.60 is: 249,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,698 : 457,743.56 = 180,795.60 : x
  2. Step 2: Convert to fraction form
    331,698/457,743.56 = 180,795.60/x
  3. Step 3: Cross multiply
    331,698x = 457,743.56 × 180,795.60
  4. Step 4: Simplify right side
    331,698x = 82,758,021,576.34
  5. Step 5: Solve for x
    x = 82,758,021,576.34/331,698
  6. Step 6: Final answer
    x = 249,498.10

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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.