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Finding the Fourth Proportional to 385,862.74, 532,449.15 and 213,776.82

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Solution

The fourth proportional to 385,862.74, 532,449.15 and 213,776.82 is: 294,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,862.74 : 532,449.15 = 213,776.82 : x
  2. Step 2: Convert to fraction form
    385,862.74/532,449.15 = 213,776.82/x
  3. Step 3: Cross multiply
    385,862.74x = 532,449.15 × 213,776.82
  4. Step 4: Simplify right side
    385,862.74x = 113,825,285,297.04
  5. Step 5: Solve for x
    x = 113,825,285,297.04/385,862.74
  6. Step 6: Final answer
    x = 294,989.06

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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.