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Finding the Fourth Proportional to 386,284.86, 533,097.72 and 216,519

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Solution

The fourth proportional to 386,284.86, 533,097.72 and 216,519 is: 298,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,284.86 : 533,097.72 = 216,519 : x
  2. Step 2: Convert to fraction form
    386,284.86/533,097.72 = 216,519/x
  3. Step 3: Cross multiply
    386,284.86x = 533,097.72 × 216,519
  4. Step 4: Simplify right side
    386,284.86x = 115,425,785,236.68
  5. Step 5: Solve for x
    x = 115,425,785,236.68/386,284.86
  6. Step 6: Final answer
    x = 298,810.02

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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.