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Finding the Fourth Proportional to 315,106.28, 434,846.39 and 171,865.88

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Solution

The fourth proportional to 315,106.28, 434,846.39 and 171,865.88 is: 237,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,106.28 : 434,846.39 = 171,865.88 : x
  2. Step 2: Convert to fraction form
    315,106.28/434,846.39 = 171,865.88/x
  3. Step 3: Cross multiply
    315,106.28x = 434,846.39 × 171,865.88
  4. Step 4: Simplify right side
    315,106.28x = 74,735,257,482.17
  5. Step 5: Solve for x
    x = 74,735,257,482.17/315,106.28
  6. Step 6: Final answer
    x = 237,174.76

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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.