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Finding the Fourth Proportional to 385,569.30, 532,102.20 and 213,487.20

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Solution

The fourth proportional to 385,569.30, 532,102.20 and 213,487.20 is: 294,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,569.30 : 532,102.20 = 213,487.20 : x
  2. Step 2: Convert to fraction form
    385,569.30/532,102.20 = 213,487.20/x
  3. Step 3: Cross multiply
    385,569.30x = 532,102.20 × 213,487.20
  4. Step 4: Simplify right side
    385,569.30x = 113,597,008,791.84
  5. Step 5: Solve for x
    x = 113,597,008,791.84/385,569.30
  6. Step 6: Final answer
    x = 294,621.51

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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.