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Finding the Fourth Proportional to 314,591.46, 434,139.78 and 171,352.68

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Solution

The fourth proportional to 314,591.46, 434,139.78 and 171,352.68 is: 236,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,591.46 : 434,139.78 = 171,352.68 : x
  2. Step 2: Convert to fraction form
    314,591.46/434,139.78 = 171,352.68/x
  3. Step 3: Cross multiply
    314,591.46x = 434,139.78 × 171,352.68
  4. Step 4: Simplify right side
    314,591.46x = 74,391,014,797.61
  5. Step 5: Solve for x
    x = 74,391,014,797.61/314,591.46
  6. Step 6: Final answer
    x = 236,468.64

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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.