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Finding the Fourth Proportional to 412,646.92, 618,970.38 and 272,372.74

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Solution

The fourth proportional to 412,646.92, 618,970.38 and 272,372.74 is: 408,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,646.92 : 618,970.38 = 272,372.74 : x
  2. Step 2: Convert to fraction form
    412,646.92/618,970.38 = 272,372.74/x
  3. Step 3: Cross multiply
    412,646.92x = 618,970.38 × 272,372.74
  4. Step 4: Simplify right side
    412,646.92x = 168,590,658,379.44
  5. Step 5: Solve for x
    x = 168,590,658,379.44/412,646.92
  6. Step 6: Final answer
    x = 408,559.11

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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.