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Finding the Fourth Proportional to 428,100.41, 642,361.63 and 200,411.46

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Solution

The fourth proportional to 428,100.41, 642,361.63 and 200,411.46 is: 300,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,100.41 : 642,361.63 = 200,411.46 : x
  2. Step 2: Convert to fraction form
    428,100.41/642,361.63 = 200,411.46/x
  3. Step 3: Cross multiply
    428,100.41x = 642,361.63 × 200,411.46
  4. Step 4: Simplify right side
    428,100.41x = 128,736,632,116.28
  5. Step 5: Solve for x
    x = 128,736,632,116.28/428,100.41
  6. Step 6: Final answer
    x = 300,715.98

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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.