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Finding the Fourth Proportional to 489,237.80, 733,856.70 and 437,916.20

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Solution

The fourth proportional to 489,237.80, 733,856.70 and 437,916.20 is: 656,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,237.80 : 733,856.70 = 437,916.20 : x
  2. Step 2: Convert to fraction form
    489,237.80/733,856.70 = 437,916.20/x
  3. Step 3: Cross multiply
    489,237.80x = 733,856.70 × 437,916.20
  4. Step 4: Simplify right side
    489,237.80x = 321,367,737,408.54
  5. Step 5: Solve for x
    x = 321,367,737,408.54/489,237.80
  6. Step 6: Final answer
    x = 656,874.30

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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.