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Finding the Fourth Proportional to 491,521.37, 737,459.57 and 171,720.46

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Solution

The fourth proportional to 491,521.37, 737,459.57 and 171,720.46 is: 257,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,521.37 : 737,459.57 = 171,720.46 : x
  2. Step 2: Convert to fraction form
    491,521.37/737,459.57 = 171,720.46/x
  3. Step 3: Cross multiply
    491,521.37x = 737,459.57 × 171,720.46
  4. Step 4: Simplify right side
    491,521.37x = 126,636,896,591.80
  5. Step 5: Solve for x
    x = 126,636,896,591.80/491,521.37
  6. Step 6: Final answer
    x = 257,642.71

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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.