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Finding the Fourth Proportional to 491,911.66, 737,945.16 and 172,152.82

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Solution

The fourth proportional to 491,911.66, 737,945.16 and 172,152.82 is: 258,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,911.66 : 737,945.16 = 172,152.82 : x
  2. Step 2: Convert to fraction form
    491,911.66/737,945.16 = 172,152.82/x
  3. Step 3: Cross multiply
    491,911.66x = 737,945.16 × 172,152.82
  4. Step 4: Simplify right side
    491,911.66x = 127,039,340,299.35
  5. Step 5: Solve for x
    x = 127,039,340,299.35/491,911.66
  6. Step 6: Final answer
    x = 258,256.41

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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.