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Finding the Fourth Proportional to 408,329.16, 563,519.72 and 227,081.60

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Solution

The fourth proportional to 408,329.16, 563,519.72 and 227,081.60 is: 313,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,329.16 : 563,519.72 = 227,081.60 : x
  2. Step 2: Convert to fraction form
    408,329.16/563,519.72 = 227,081.60/x
  3. Step 3: Cross multiply
    408,329.16x = 563,519.72 × 227,081.60
  4. Step 4: Simplify right side
    408,329.16x = 127,964,959,649.15
  5. Step 5: Solve for x
    x = 127,964,959,649.15/408,329.16
  6. Step 6: Final answer
    x = 313,386.78

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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.