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Finding the Fourth Proportional to 412,264.94, 618,282.59 and 145,953.95

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Solution

The fourth proportional to 412,264.94, 618,282.59 and 145,953.95 is: 218,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,264.94 : 618,282.59 = 145,953.95 : x
  2. Step 2: Convert to fraction form
    412,264.94/618,282.59 = 145,953.95/x
  3. Step 3: Cross multiply
    412,264.94x = 618,282.59 × 145,953.95
  4. Step 4: Simplify right side
    412,264.94x = 90,240,782,405.55
  5. Step 5: Solve for x
    x = 90,240,782,405.55/412,264.94
  6. Step 6: Final answer
    x = 218,890.27

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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.