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Finding the Fourth Proportional to 408,429.64, 563,646.90 and 238,660.12

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Solution

The fourth proportional to 408,429.64, 563,646.90 and 238,660.12 is: 329,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,429.64 : 563,646.90 = 238,660.12 : x
  2. Step 2: Convert to fraction form
    408,429.64/563,646.90 = 238,660.12/x
  3. Step 3: Cross multiply
    408,429.64x = 563,646.90 × 238,660.12
  4. Step 4: Simplify right side
    408,429.64x = 134,520,036,791.63
  5. Step 5: Solve for x
    x = 134,520,036,791.63/408,429.64
  6. Step 6: Final answer
    x = 329,359.14

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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.