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Finding the Fourth Proportional to 271,703.61, 408,219.62 and 256,597.11

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Solution

The fourth proportional to 271,703.61, 408,219.62 and 256,597.11 is: 385,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.61 : 408,219.62 = 256,597.11 : x
  2. Step 2: Convert to fraction form
    271,703.61/408,219.62 = 256,597.11/x
  3. Step 3: Cross multiply
    271,703.61x = 408,219.62 × 256,597.11
  4. Step 4: Simplify right side
    271,703.61x = 104,747,973,454.31
  5. Step 5: Solve for x
    x = 104,747,973,454.31/271,703.61
  6. Step 6: Final answer
    x = 385,522.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.