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Finding the Fourth Proportional to 315,148.88, 434,908.24 and 171,909.56

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Solution

The fourth proportional to 315,148.88, 434,908.24 and 171,909.56 is: 237,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,148.88 : 434,908.24 = 171,909.56 : x
  2. Step 2: Convert to fraction form
    315,148.88/434,908.24 = 171,909.56/x
  3. Step 3: Cross multiply
    315,148.88x = 434,908.24 × 171,909.56
  4. Step 4: Simplify right side
    315,148.88x = 74,764,884,178.77
  5. Step 5: Solve for x
    x = 74,764,884,178.77/315,148.88
  6. Step 6: Final answer
    x = 237,236.71

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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.