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Finding the Fourth Proportional to 386,162.37, 532,898.92 and 216,399.81

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Solution

The fourth proportional to 386,162.37, 532,898.92 and 216,399.81 is: 298,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,162.37 : 532,898.92 = 216,399.81 : x
  2. Step 2: Convert to fraction form
    386,162.37/532,898.92 = 216,399.81/x
  3. Step 3: Cross multiply
    386,162.37x = 532,898.92 × 216,399.81
  4. Step 4: Simplify right side
    386,162.37x = 115,319,225,037.21
  5. Step 5: Solve for x
    x = 115,319,225,037.21/386,162.37
  6. Step 6: Final answer
    x = 298,628.85

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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.