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Finding the Fourth Proportional to 408,436.94, 563,559.72 and 238,638.26

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Solution

The fourth proportional to 408,436.94, 563,559.72 and 238,638.26 is: 329,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,436.94 : 563,559.72 = 238,638.26 : x
  2. Step 2: Convert to fraction form
    408,436.94/563,559.72 = 238,638.26/x
  3. Step 3: Cross multiply
    408,436.94x = 563,559.72 × 238,638.26
  4. Step 4: Simplify right side
    408,436.94x = 134,486,910,986.89
  5. Step 5: Solve for x
    x = 134,486,910,986.89/408,436.94
  6. Step 6: Final answer
    x = 329,272.15

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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.