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Finding the Fourth Proportional to 490,636.50, 735,932.67 and 171,013.74

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Solution

The fourth proportional to 490,636.50, 735,932.67 and 171,013.74 is: 256,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,636.50 : 735,932.67 = 171,013.74 : x
  2. Step 2: Convert to fraction form
    490,636.50/735,932.67 = 171,013.74/x
  3. Step 3: Cross multiply
    490,636.50x = 735,932.67 × 171,013.74
  4. Step 4: Simplify right side
    490,636.50x = 125,854,598,284.89
  5. Step 5: Solve for x
    x = 125,854,598,284.89/490,636.50
  6. Step 6: Final answer
    x = 256,512.91

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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.