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Finding the Fourth Proportional to 386,217.68, 533,002.32 and 216,462.76

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Solution

The fourth proportional to 386,217.68, 533,002.32 and 216,462.76 is: 298,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,217.68 : 533,002.32 = 216,462.76 : x
  2. Step 2: Convert to fraction form
    386,217.68/533,002.32 = 216,462.76/x
  3. Step 3: Cross multiply
    386,217.68x = 533,002.32 × 216,462.76
  4. Step 4: Simplify right side
    386,217.68x = 115,375,153,273.60
  5. Step 5: Solve for x
    x = 115,375,153,273.60/386,217.68
  6. Step 6: Final answer
    x = 298,730.90

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1.5x scale

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.