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Finding the Fourth Proportional to 314,629.80, 434,188.40 and 171,389.50

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Solution

The fourth proportional to 314,629.80, 434,188.40 and 171,389.50 is: 236,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,629.80 : 434,188.40 = 171,389.50 : x
  2. Step 2: Convert to fraction form
    314,629.80/434,188.40 = 171,389.50/x
  3. Step 3: Cross multiply
    314,629.80x = 434,188.40 × 171,389.50
  4. Step 4: Simplify right side
    314,629.80x = 74,415,332,781.80
  5. Step 5: Solve for x
    x = 74,415,332,781.80/314,629.80
  6. Step 6: Final answer
    x = 236,517.12

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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.