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Finding the Fourth Proportional to 647,276.64, 892,913.46 and 494,048.82

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Solution

The fourth proportional to 647,276.64, 892,913.46 and 494,048.82 is: 681,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,276.64 : 892,913.46 = 494,048.82 : x
  2. Step 2: Convert to fraction form
    647,276.64/892,913.46 = 494,048.82/x
  3. Step 3: Cross multiply
    647,276.64x = 892,913.46 × 494,048.82
  4. Step 4: Simplify right side
    647,276.64x = 441,142,841,275.12
  5. Step 5: Solve for x
    x = 441,142,841,275.12/647,276.64
  6. Step 6: Final answer
    x = 681,536.79

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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.