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Finding the Fourth Proportional to 354,477.52, 531,560.76 and 132,706

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Solution

The fourth proportional to 354,477.52, 531,560.76 and 132,706 is: 199,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,477.52 : 531,560.76 = 132,706 : x
  2. Step 2: Convert to fraction form
    354,477.52/531,560.76 = 132,706/x
  3. Step 3: Cross multiply
    354,477.52x = 531,560.76 × 132,706
  4. Step 4: Simplify right side
    354,477.52x = 70,541,302,216.56
  5. Step 5: Solve for x
    x = 70,541,302,216.56/354,477.52
  6. Step 6: Final answer
    x = 199,000.78

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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.