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Finding the Fourth Proportional to 234,539.40, 323,680.56 and 142,694.49

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Solution

The fourth proportional to 234,539.40, 323,680.56 and 142,694.49 is: 196,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,539.40 : 323,680.56 = 142,694.49 : x
  2. Step 2: Convert to fraction form
    234,539.40/323,680.56 = 142,694.49/x
  3. Step 3: Cross multiply
    234,539.40x = 323,680.56 × 142,694.49
  4. Step 4: Simplify right side
    234,539.40x = 46,187,432,432.11
  5. Step 5: Solve for x
    x = 46,187,432,432.11/234,539.40
  6. Step 6: Final answer
    x = 196,928.25

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1.5x scale

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.