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Finding the Fourth Proportional to 431,883.64, 647,825.46 and 221,387.32

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Solution

The fourth proportional to 431,883.64, 647,825.46 and 221,387.32 is: 332,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,883.64 : 647,825.46 = 221,387.32 : x
  2. Step 2: Convert to fraction form
    431,883.64/647,825.46 = 221,387.32/x
  3. Step 3: Cross multiply
    431,883.64x = 647,825.46 × 221,387.32
  4. Step 4: Simplify right side
    431,883.64x = 143,420,342,417.17
  5. Step 5: Solve for x
    x = 143,420,342,417.17/431,883.64
  6. Step 6: Final answer
    x = 332,080.98

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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.