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Finding the Fourth Proportional to 454,959.40, 682,374.30 and 155,453.80

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Solution

The fourth proportional to 454,959.40, 682,374.30 and 155,453.80 is: 233,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,959.40 : 682,374.30 = 155,453.80 : x
  2. Step 2: Convert to fraction form
    454,959.40/682,374.30 = 155,453.80/x
  3. Step 3: Cross multiply
    454,959.40x = 682,374.30 × 155,453.80
  4. Step 4: Simplify right side
    454,959.40x = 106,077,677,957.34
  5. Step 5: Solve for x
    x = 106,077,677,957.34/454,959.40
  6. Step 6: Final answer
    x = 233,158.56

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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.