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Finding the Fourth Proportional to 644,806.40, 967,363.20 and 312,108.80

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Solution

The fourth proportional to 644,806.40, 967,363.20 and 312,108.80 is: 468,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,806.40 : 967,363.20 = 312,108.80 : x
  2. Step 2: Convert to fraction form
    644,806.40/967,363.20 = 312,108.80/x
  3. Step 3: Cross multiply
    644,806.40x = 967,363.20 × 312,108.80
  4. Step 4: Simplify right side
    644,806.40x = 301,922,567,516.16
  5. Step 5: Solve for x
    x = 301,922,567,516.16/644,806.40
  6. Step 6: Final answer
    x = 468,237.55

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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.