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Finding the Fourth Proportional to 454,899, 682,348.50 and 159,411

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Solution

The fourth proportional to 454,899, 682,348.50 and 159,411 is: 239,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,899 : 682,348.50 = 159,411 : x
  2. Step 2: Convert to fraction form
    454,899/682,348.50 = 159,411/x
  3. Step 3: Cross multiply
    454,899x = 682,348.50 × 159,411
  4. Step 4: Simplify right side
    454,899x = 108,773,856,733.50
  5. Step 5: Solve for x
    x = 108,773,856,733.50/454,899
  6. Step 6: Final answer
    x = 239,116.50

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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.