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Finding the Fourth Proportional to 412,009.88, 618,018.66 and 145,815.53

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Solution

The fourth proportional to 412,009.88, 618,018.66 and 145,815.53 is: 218,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,009.88 : 618,018.66 = 145,815.53 : x
  2. Step 2: Convert to fraction form
    412,009.88/618,018.66 = 145,815.53/x
  3. Step 3: Cross multiply
    412,009.88x = 618,018.66 × 145,815.53
  4. Step 4: Simplify right side
    412,009.88x = 90,116,715,367.70
  5. Step 5: Solve for x
    x = 90,116,715,367.70/412,009.88
  6. Step 6: Final answer
    x = 218,724.65

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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.