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Finding the Fourth Proportional to 385,714.68, 532,274.49 and 213,625.82

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Solution

The fourth proportional to 385,714.68, 532,274.49 and 213,625.82 is: 294,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,714.68 : 532,274.49 = 213,625.82 : x
  2. Step 2: Convert to fraction form
    385,714.68/532,274.49 = 213,625.82/x
  3. Step 3: Cross multiply
    385,714.68x = 532,274.49 × 213,625.82
  4. Step 4: Simplify right side
    385,714.68x = 113,707,571,729.96
  5. Step 5: Solve for x
    x = 113,707,571,729.96/385,714.68
  6. Step 6: Final answer
    x = 294,797.11

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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.