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Finding the Fourth Proportional to 385,714.18, 532,273.80 and 213,625.32

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Solution

The fourth proportional to 385,714.18, 532,273.80 and 213,625.32 is: 294,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,714.18 : 532,273.80 = 213,625.32 : x
  2. Step 2: Convert to fraction form
    385,714.18/532,273.80 = 213,625.32/x
  3. Step 3: Cross multiply
    385,714.18x = 532,273.80 × 213,625.32
  4. Step 4: Simplify right side
    385,714.18x = 113,707,160,852.62
  5. Step 5: Solve for x
    x = 113,707,160,852.62/385,714.18
  6. Step 6: Final answer
    x = 294,796.42

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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.