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Finding the Fourth Proportional to 385,634.76, 532,169.30 and 213,549.32

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Solution

The fourth proportional to 385,634.76, 532,169.30 and 213,549.32 is: 294,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,634.76 : 532,169.30 = 213,549.32 : x
  2. Step 2: Convert to fraction form
    385,634.76/532,169.30 = 213,549.32/x
  3. Step 3: Cross multiply
    385,634.76x = 532,169.30 × 213,549.32
  4. Step 4: Simplify right side
    385,634.76x = 113,644,388,411.28
  5. Step 5: Solve for x
    x = 113,644,388,411.28/385,634.76
  6. Step 6: Final answer
    x = 294,694.36

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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.