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Finding the Fourth Proportional to 315,057.76, 434,813.44 and 192,622

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Solution

The fourth proportional to 315,057.76, 434,813.44 and 192,622 is: 265,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,057.76 : 434,813.44 = 192,622 : x
  2. Step 2: Convert to fraction form
    315,057.76/434,813.44 = 192,622/x
  3. Step 3: Cross multiply
    315,057.76x = 434,813.44 × 192,622
  4. Step 4: Simplify right side
    315,057.76x = 83,754,634,439.68
  5. Step 5: Solve for x
    x = 83,754,634,439.68/315,057.76
  6. Step 6: Final answer
    x = 265,838.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.