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Finding the Fourth Proportional to 331,830.90, 457,927.10 and 180,927.90

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Solution

The fourth proportional to 331,830.90, 457,927.10 and 180,927.90 is: 249,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,830.90 : 457,927.10 = 180,927.90 : x
  2. Step 2: Convert to fraction form
    331,830.90/457,927.10 = 180,927.90/x
  3. Step 3: Cross multiply
    331,830.90x = 457,927.10 × 180,927.90
  4. Step 4: Simplify right side
    331,830.90x = 82,851,788,556.09
  5. Step 5: Solve for x
    x = 82,851,788,556.09/331,830.90
  6. Step 6: Final answer
    x = 249,680.75

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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.