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Finding the Fourth Proportional to 1,405,503, 2,108,312.82 and 408,231

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Solution

The fourth proportional to 1,405,503, 2,108,312.82 and 408,231 is: 612,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,503 : 2,108,312.82 = 408,231 : x
  2. Step 2: Convert to fraction form
    1,405,503/2,108,312.82 = 408,231/x
  3. Step 3: Cross multiply
    1,405,503x = 2,108,312.82 × 408,231
  4. Step 4: Simplify right side
    1,405,503x = 860,678,650,821.42
  5. Step 5: Solve for x
    x = 860,678,650,821.42/1,405,503
  6. Step 6: Final answer
    x = 612,363.44

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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.