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Finding the Fourth Proportional to 412,227.70, 618,341.55 and 202,275.70

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Solution

The fourth proportional to 412,227.70, 618,341.55 and 202,275.70 is: 303,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,227.70 : 618,341.55 = 202,275.70 : x
  2. Step 2: Convert to fraction form
    412,227.70/618,341.55 = 202,275.70/x
  3. Step 3: Cross multiply
    412,227.70x = 618,341.55 × 202,275.70
  4. Step 4: Simplify right side
    412,227.70x = 125,075,469,865.34
  5. Step 5: Solve for x
    x = 125,075,469,865.34/412,227.70
  6. Step 6: Final answer
    x = 303,413.55

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1.5x scale

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.