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Finding the Fourth Proportional to 493,006.80, 739,855.80 and 212,725.20

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Solution

The fourth proportional to 493,006.80, 739,855.80 and 212,725.20 is: 319,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,006.80 : 739,855.80 = 212,725.20 : x
  2. Step 2: Convert to fraction form
    493,006.80/739,855.80 = 212,725.20/x
  3. Step 3: Cross multiply
    493,006.80x = 739,855.80 × 212,725.20
  4. Step 4: Simplify right side
    493,006.80x = 157,385,973,026.16
  5. Step 5: Solve for x
    x = 157,385,973,026.16/493,006.80
  6. Step 6: Final answer
    x = 319,236.92

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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.