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Finding the Fourth Proportional to 354,315.24, 488,999.16 and 203,409

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Solution

The fourth proportional to 354,315.24, 488,999.16 and 203,409 is: 280,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,315.24 : 488,999.16 = 203,409 : x
  2. Step 2: Convert to fraction form
    354,315.24/488,999.16 = 203,409/x
  3. Step 3: Cross multiply
    354,315.24x = 488,999.16 × 203,409
  4. Step 4: Simplify right side
    354,315.24x = 99,466,830,136.44
  5. Step 5: Solve for x
    x = 99,466,830,136.44/354,315.24
  6. Step 6: Final answer
    x = 280,729.75

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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.