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Finding the Fourth Proportional to 331,854.72, 457,968.96 and 180,960

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Solution

The fourth proportional to 331,854.72, 457,968.96 and 180,960 is: 249,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,854.72 : 457,968.96 = 180,960 : x
  2. Step 2: Convert to fraction form
    331,854.72/457,968.96 = 180,960/x
  3. Step 3: Cross multiply
    331,854.72x = 457,968.96 × 180,960
  4. Step 4: Simplify right side
    331,854.72x = 82,874,063,001.60
  5. Step 5: Solve for x
    x = 82,874,063,001.60/331,854.72
  6. Step 6: Final answer
    x = 249,729.95

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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.