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Finding the Fourth Proportional to 408,954.63, 564,254.94 and 245,638.56

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Solution

The fourth proportional to 408,954.63, 564,254.94 and 245,638.56 is: 338,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,954.63 : 564,254.94 = 245,638.56 : x
  2. Step 2: Convert to fraction form
    408,954.63/564,254.94 = 245,638.56/x
  3. Step 3: Cross multiply
    408,954.63x = 564,254.94 × 245,638.56
  4. Step 4: Simplify right side
    408,954.63x = 138,602,770,934.49
  5. Step 5: Solve for x
    x = 138,602,770,934.49/408,954.63
  6. Step 6: Final answer
    x = 338,919.68

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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.