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Finding the Fourth Proportional to 299,025.40, 412,640 and 169,960.54

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Solution

The fourth proportional to 299,025.40, 412,640 and 169,960.54 is: 234,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,025.40 : 412,640 = 169,960.54 : x
  2. Step 2: Convert to fraction form
    299,025.40/412,640 = 169,960.54/x
  3. Step 3: Cross multiply
    299,025.40x = 412,640 × 169,960.54
  4. Step 4: Simplify right side
    299,025.40x = 70,132,517,225.60
  5. Step 5: Solve for x
    x = 70,132,517,225.60/299,025.40
  6. Step 6: Final answer
    x = 234,536.99

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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.