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Finding the Fourth Proportional to 408,303.48, 563,458.20 and 227,009.64

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Solution

The fourth proportional to 408,303.48, 563,458.20 and 227,009.64 is: 313,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,303.48 : 563,458.20 = 227,009.64 : x
  2. Step 2: Convert to fraction form
    408,303.48/563,458.20 = 227,009.64/x
  3. Step 3: Cross multiply
    408,303.48x = 563,458.20 × 227,009.64
  4. Step 4: Simplify right side
    408,303.48x = 127,910,443,137.05
  5. Step 5: Solve for x
    x = 127,910,443,137.05/408,303.48
  6. Step 6: Final answer
    x = 313,272.97

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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.