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Finding the Fourth Proportional to 386,285.86, 533,099.10 and 216,520

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Solution

The fourth proportional to 386,285.86, 533,099.10 and 216,520 is: 298,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,285.86 : 533,099.10 = 216,520 : x
  2. Step 2: Convert to fraction form
    386,285.86/533,099.10 = 216,520/x
  3. Step 3: Cross multiply
    386,285.86x = 533,099.10 × 216,520
  4. Step 4: Simplify right side
    386,285.86x = 115,426,617,132
  5. Step 5: Solve for x
    x = 115,426,617,132/386,285.86
  6. Step 6: Final answer
    x = 298,811.40

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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.