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Finding the Fourth Proportional to 412,279.17, 618,410.00 and 112,759.76

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Solution

The fourth proportional to 412,279.17, 618,410.00 and 112,759.76 is: 169,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,279.17 : 618,410.00 = 112,759.76 : x
  2. Step 2: Convert to fraction form
    412,279.17/618,410.00 = 112,759.76/x
  3. Step 3: Cross multiply
    412,279.17x = 618,410.00 × 112,759.76
  4. Step 4: Simplify right side
    412,279.17x = 69,731,759,525.75
  5. Step 5: Solve for x
    x = 69,731,759,525.75/412,279.17
  6. Step 6: Final answer
    x = 169,137.24

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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.