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Finding the Fourth Proportional to 408,460.29, 563,631.99 and 227,142.90

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Solution

The fourth proportional to 408,460.29, 563,631.99 and 227,142.90 is: 313,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,460.29 : 563,631.99 = 227,142.90 : x
  2. Step 2: Convert to fraction form
    408,460.29/563,631.99 = 227,142.90/x
  3. Step 3: Cross multiply
    408,460.29x = 563,631.99 × 227,142.90
  4. Step 4: Simplify right side
    408,460.29x = 128,025,004,741.37
  5. Step 5: Solve for x
    x = 128,025,004,741.37/408,460.29
  6. Step 6: Final answer
    x = 313,433.17

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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.