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Finding the Fourth Proportional to 358,456, 494,611.38 and 205,466.02

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Solution

The fourth proportional to 358,456, 494,611.38 and 205,466.02 is: 283,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,456 : 494,611.38 = 205,466.02 : x
  2. Step 2: Convert to fraction form
    358,456/494,611.38 = 205,466.02/x
  3. Step 3: Cross multiply
    358,456x = 494,611.38 × 205,466.02
  4. Step 4: Simplify right side
    358,456x = 101,625,831,695.31
  5. Step 5: Solve for x
    x = 101,625,831,695.31/358,456
  6. Step 6: Final answer
    x = 283,509.92

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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.