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Finding the Fourth Proportional to 431,857.90, 647,768.14 and 147,573.82

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Solution

The fourth proportional to 431,857.90, 647,768.14 and 147,573.82 is: 221,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,857.90 : 647,768.14 = 147,573.82 : x
  2. Step 2: Convert to fraction form
    431,857.90/647,768.14 = 147,573.82/x
  3. Step 3: Cross multiply
    431,857.90x = 647,768.14 × 147,573.82
  4. Step 4: Simplify right side
    431,857.90x = 95,593,618,894.09
  5. Step 5: Solve for x
    x = 95,593,618,894.09/431,857.90
  6. Step 6: Final answer
    x = 221,354.34

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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.