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Finding the Fourth Proportional to 412,004.40, 618,006.60 and 252,572.10

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Solution

The fourth proportional to 412,004.40, 618,006.60 and 252,572.10 is: 378,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,004.40 : 618,006.60 = 252,572.10 : x
  2. Step 2: Convert to fraction form
    412,004.40/618,006.60 = 252,572.10/x
  3. Step 3: Cross multiply
    412,004.40x = 618,006.60 × 252,572.10
  4. Step 4: Simplify right side
    412,004.40x = 156,091,224,775.86
  5. Step 5: Solve for x
    x = 156,091,224,775.86/412,004.40
  6. Step 6: Final answer
    x = 378,858.15

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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.