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Finding the Fourth Proportional to 386,289.86, 533,104.62 and 216,524

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Solution

The fourth proportional to 386,289.86, 533,104.62 and 216,524 is: 298,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,289.86 : 533,104.62 = 216,524 : x
  2. Step 2: Convert to fraction form
    386,289.86/533,104.62 = 216,524/x
  3. Step 3: Cross multiply
    386,289.86x = 533,104.62 × 216,524
  4. Step 4: Simplify right side
    386,289.86x = 115,429,944,740.88
  5. Step 5: Solve for x
    x = 115,429,944,740.88/386,289.86
  6. Step 6: Final answer
    x = 298,816.92

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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.