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Finding the Fourth Proportional to 385,843.82, 532,464.90 and 216,077.95

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Solution

The fourth proportional to 385,843.82, 532,464.90 and 216,077.95 is: 298,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,843.82 : 532,464.90 = 216,077.95 : x
  2. Step 2: Convert to fraction form
    385,843.82/532,464.90 = 216,077.95/x
  3. Step 3: Cross multiply
    385,843.82x = 532,464.90 × 216,077.95
  4. Step 4: Simplify right side
    385,843.82x = 115,053,924,038.96
  5. Step 5: Solve for x
    x = 115,053,924,038.96/385,843.82
  6. Step 6: Final answer
    x = 298,187.81

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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.