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Finding the Fourth Proportional to 385,894.86, 532,542.24 and 216,128.58

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Solution

The fourth proportional to 385,894.86, 532,542.24 and 216,128.58 is: 298,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,894.86 : 532,542.24 = 216,128.58 : x
  2. Step 2: Convert to fraction form
    385,894.86/532,542.24 = 216,128.58/x
  3. Step 3: Cross multiply
    385,894.86x = 532,542.24 × 216,128.58
  4. Step 4: Simplify right side
    385,894.86x = 115,097,598,121.22
  5. Step 5: Solve for x
    x = 115,097,598,121.22/385,894.86
  6. Step 6: Final answer
    x = 298,261.55

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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.