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Finding the Fourth Proportional to 314,634.40, 434,199.20 and 171,395.68

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Solution

The fourth proportional to 314,634.40, 434,199.20 and 171,395.68 is: 236,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,634.40 : 434,199.20 = 171,395.68 : x
  2. Step 2: Convert to fraction form
    314,634.40/434,199.20 = 171,395.68/x
  3. Step 3: Cross multiply
    314,634.40x = 434,199.20 × 171,395.68
  4. Step 4: Simplify right side
    314,634.40x = 74,419,867,139.46
  5. Step 5: Solve for x
    x = 74,419,867,139.46/314,634.40
  6. Step 6: Final answer
    x = 236,528.07

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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.