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Finding the Fourth Proportional to 385,796.94, 532,385.10 and 216,022.56

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Solution

The fourth proportional to 385,796.94, 532,385.10 and 216,022.56 is: 298,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,796.94 : 532,385.10 = 216,022.56 : x
  2. Step 2: Convert to fraction form
    385,796.94/532,385.10 = 216,022.56/x
  3. Step 3: Cross multiply
    385,796.94x = 532,385.10 × 216,022.56
  4. Step 4: Simplify right side
    385,796.94x = 115,007,192,207.86
  5. Step 5: Solve for x
    x = 115,007,192,207.86/385,796.94
  6. Step 6: Final answer
    x = 298,102.91

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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.