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Finding the Fourth Proportional to 315,145.88, 434,904.09 and 171,906.56

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Solution

The fourth proportional to 315,145.88, 434,904.09 and 171,906.56 is: 237,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,145.88 : 434,904.09 = 171,906.56 : x
  2. Step 2: Convert to fraction form
    315,145.88/434,904.09 = 171,906.56/x
  3. Step 3: Cross multiply
    315,145.88x = 434,904.09 × 171,906.56
  4. Step 4: Simplify right side
    315,145.88x = 74,762,866,041.83
  5. Step 5: Solve for x
    x = 74,762,866,041.83/315,145.88
  6. Step 6: Final answer
    x = 237,232.57

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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.