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Finding the Fourth Proportional to 385,838.49, 532,460.85 and 213,760.11

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Solution

The fourth proportional to 385,838.49, 532,460.85 and 213,760.11 is: 294,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,838.49 : 532,460.85 = 213,760.11 : x
  2. Step 2: Convert to fraction form
    385,838.49/532,460.85 = 213,760.11/x
  3. Step 3: Cross multiply
    385,838.49x = 532,460.85 × 213,760.11
  4. Step 4: Simplify right side
    385,838.49x = 113,818,888,797.89
  5. Step 5: Solve for x
    x = 113,818,888,797.89/385,838.49
  6. Step 6: Final answer
    x = 294,991.02

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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.