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Finding the Fourth Proportional to 408,433.59, 563,605.70 and 227,145.87

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Solution

The fourth proportional to 408,433.59, 563,605.70 and 227,145.87 is: 313,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,433.59 : 563,605.70 = 227,145.87 : x
  2. Step 2: Convert to fraction form
    408,433.59/563,605.70 = 227,145.87/x
  3. Step 3: Cross multiply
    408,433.59x = 563,605.70 × 227,145.87
  4. Step 4: Simplify right side
    408,433.59x = 128,020,705,927.73
  5. Step 5: Solve for x
    x = 128,020,705,927.73/408,433.59
  6. Step 6: Final answer
    x = 313,443.14

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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.