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Finding the Fourth Proportional to 251,209.60, 376,231.20 and 171,894.40

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Solution

The fourth proportional to 251,209.60, 376,231.20 and 171,894.40 is: 257,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,209.60 : 376,231.20 = 171,894.40 : x
  2. Step 2: Convert to fraction form
    251,209.60/376,231.20 = 171,894.40/x
  3. Step 3: Cross multiply
    251,209.60x = 376,231.20 × 171,894.40
  4. Step 4: Simplify right side
    251,209.60x = 64,672,036,385.28
  5. Step 5: Solve for x
    x = 64,672,036,385.28/251,209.60
  6. Step 6: Final answer
    x = 257,442.54

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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.