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Finding the Fourth Proportional to 412,150.77, 618,314.72 and 127,835.37

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Solution

The fourth proportional to 412,150.77, 618,314.72 and 127,835.37 is: 191,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,150.77 : 618,314.72 = 127,835.37 : x
  2. Step 2: Convert to fraction form
    412,150.77/618,314.72 = 127,835.37/x
  3. Step 3: Cross multiply
    412,150.77x = 618,314.72 × 127,835.37
  4. Step 4: Simplify right side
    412,150.77x = 79,042,490,368.47
  5. Step 5: Solve for x
    x = 79,042,490,368.47/412,150.77
  6. Step 6: Final answer
    x = 191,780.52

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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.