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Finding the Fourth Proportional to 385,846.90, 532,468.78 and 216,081.02

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Solution

The fourth proportional to 385,846.90, 532,468.78 and 216,081.02 is: 298,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,846.90 : 532,468.78 = 216,081.02 : x
  2. Step 2: Convert to fraction form
    385,846.90/532,468.78 = 216,081.02/x
  3. Step 3: Cross multiply
    385,846.90x = 532,468.78 × 216,081.02
  4. Step 4: Simplify right side
    385,846.90x = 115,056,397,891.53
  5. Step 5: Solve for x
    x = 115,056,397,891.53/385,846.90
  6. Step 6: Final answer
    x = 298,191.84

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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.