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Finding the Fourth Proportional to 230,432.40, 345,664.80 and 130,640.40

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Solution

The fourth proportional to 230,432.40, 345,664.80 and 130,640.40 is: 195,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,432.40 : 345,664.80 = 130,640.40 : x
  2. Step 2: Convert to fraction form
    230,432.40/345,664.80 = 130,640.40/x
  3. Step 3: Cross multiply
    230,432.40x = 345,664.80 × 130,640.40
  4. Step 4: Simplify right side
    230,432.40x = 45,157,787,737.92
  5. Step 5: Solve for x
    x = 45,157,787,737.92/230,432.40
  6. Step 6: Final answer
    x = 195,969.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.