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Finding the Fourth Proportional to 385,772.88, 532,388.52 and 216,005.52

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Solution

The fourth proportional to 385,772.88, 532,388.52 and 216,005.52 is: 298,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,772.88 : 532,388.52 = 216,005.52 : x
  2. Step 2: Convert to fraction form
    385,772.88/532,388.52 = 216,005.52/x
  3. Step 3: Cross multiply
    385,772.88x = 532,388.52 × 216,005.52
  4. Step 4: Simplify right side
    385,772.88x = 114,998,859,104.63
  5. Step 5: Solve for x
    x = 114,998,859,104.63/385,772.88
  6. Step 6: Final answer
    x = 298,099.91

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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.