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Finding the Fourth Proportional to 431,913.52, 647,365.86 and 324,953.88

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Solution

The fourth proportional to 431,913.52, 647,365.86 and 324,953.88 is: 487,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,913.52 : 647,365.86 = 324,953.88 : x
  2. Step 2: Convert to fraction form
    431,913.52/647,365.86 = 324,953.88/x
  3. Step 3: Cross multiply
    431,913.52x = 647,365.86 × 324,953.88
  4. Step 4: Simplify right side
    431,913.52x = 210,364,045,101.95
  5. Step 5: Solve for x
    x = 210,364,045,101.95/431,913.52
  6. Step 6: Final answer
    x = 487,051.31

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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.