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Finding the Fourth Proportional to 354,264.54, 531,511.56 and 212,087.58

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Solution

The fourth proportional to 354,264.54, 531,511.56 and 212,087.58 is: 318,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,264.54 : 531,511.56 = 212,087.58 : x
  2. Step 2: Convert to fraction form
    354,264.54/531,511.56 = 212,087.58/x
  3. Step 3: Cross multiply
    354,264.54x = 531,511.56 × 212,087.58
  4. Step 4: Simplify right side
    354,264.54x = 112,727,000,502.43
  5. Step 5: Solve for x
    x = 112,727,000,502.43/354,264.54
  6. Step 6: Final answer
    x = 318,200.07

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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.