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Finding the Fourth Proportional to 314,709.39, 434,298.95 and 171,469.43

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Solution

The fourth proportional to 314,709.39, 434,298.95 and 171,469.43 is: 236,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,709.39 : 434,298.95 = 171,469.43 : x
  2. Step 2: Convert to fraction form
    314,709.39/434,298.95 = 171,469.43/x
  3. Step 3: Cross multiply
    314,709.39x = 434,298.95 × 171,469.43
  4. Step 4: Simplify right side
    314,709.39x = 74,468,994,920.52
  5. Step 5: Solve for x
    x = 74,468,994,920.52/314,709.39
  6. Step 6: Final answer
    x = 236,627.81

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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.