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Finding the Fourth Proportional to 354,795.64, 532,909.73 and 212,910.37

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Solution

The fourth proportional to 354,795.64, 532,909.73 and 212,910.37 is: 319,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,795.64 : 532,909.73 = 212,910.37 : x
  2. Step 2: Convert to fraction form
    354,795.64/532,909.73 = 212,910.37/x
  3. Step 3: Cross multiply
    354,795.64x = 532,909.73 × 212,910.37
  4. Step 4: Simplify right side
    354,795.64x = 113,462,006,990.90
  5. Step 5: Solve for x
    x = 113,462,006,990.90/354,795.64
  6. Step 6: Final answer
    x = 319,795.38

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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.