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Finding the Fourth Proportional to 412,510.59, 618,766.38 and 112,993.76

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Solution

The fourth proportional to 412,510.59, 618,766.38 and 112,993.76 is: 169,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,510.59 : 618,766.38 = 112,993.76 : x
  2. Step 2: Convert to fraction form
    412,510.59/618,766.38 = 112,993.76/x
  3. Step 3: Cross multiply
    412,510.59x = 618,766.38 × 112,993.76
  4. Step 4: Simplify right side
    412,510.59x = 69,916,736,743.96
  5. Step 5: Solve for x
    x = 69,916,736,743.96/412,510.59
  6. Step 6: Final answer
    x = 169,490.77

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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.