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Finding the Fourth Proportional to 408,396, 563,585.76 and 227,102.88

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Solution

The fourth proportional to 408,396, 563,585.76 and 227,102.88 is: 313,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,396 : 563,585.76 = 227,102.88 : x
  2. Step 2: Convert to fraction form
    408,396/563,585.76 = 227,102.88/x
  3. Step 3: Cross multiply
    408,396x = 563,585.76 × 227,102.88
  4. Step 4: Simplify right side
    408,396x = 127,991,949,222.99
  5. Step 5: Solve for x
    x = 127,991,949,222.99/408,396
  6. Step 6: Final answer
    x = 313,401.57

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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.