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Finding the Fourth Proportional to 408,530.69, 563,806.40 and 227,276.76

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Solution

The fourth proportional to 408,530.69, 563,806.40 and 227,276.76 is: 313,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,530.69 : 563,806.40 = 227,276.76 : x
  2. Step 2: Convert to fraction form
    408,530.69/563,806.40 = 227,276.76/x
  3. Step 3: Cross multiply
    408,530.69x = 563,806.40 × 227,276.76
  4. Step 4: Simplify right side
    408,530.69x = 128,140,090,722.88
  5. Step 5: Solve for x
    x = 128,140,090,722.88/408,530.69
  6. Step 6: Final answer
    x = 313,660.87

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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.