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Finding the Fourth Proportional to 383,898.97, 575,307.15 and 181,278.91

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Solution

The fourth proportional to 383,898.97, 575,307.15 and 181,278.91 is: 271,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,898.97 : 575,307.15 = 181,278.91 : x
  2. Step 2: Convert to fraction form
    383,898.97/575,307.15 = 181,278.91/x
  3. Step 3: Cross multiply
    383,898.97x = 575,307.15 × 181,278.91
  4. Step 4: Simplify right side
    383,898.97x = 104,291,053,067.21
  5. Step 5: Solve for x
    x = 104,291,053,067.21/383,898.97
  6. Step 6: Final answer
    x = 271,662.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.