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Finding the Fourth Proportional to 491,738.60, 737,673.60 and 171,853.40

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Solution

The fourth proportional to 491,738.60, 737,673.60 and 171,853.40 is: 257,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,738.60 : 737,673.60 = 171,853.40 : x
  2. Step 2: Convert to fraction form
    491,738.60/737,673.60 = 171,853.40/x
  3. Step 3: Cross multiply
    491,738.60x = 737,673.60 × 171,853.40
  4. Step 4: Simplify right side
    491,738.60x = 126,771,716,250.24
  5. Step 5: Solve for x
    x = 126,771,716,250.24/491,738.60
  6. Step 6: Final answer
    x = 257,803.06

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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.