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Finding the Fourth Proportional to 428,975.60, 643,463.40 and 271,900.40

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Solution

The fourth proportional to 428,975.60, 643,463.40 and 271,900.40 is: 407,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,975.60 : 643,463.40 = 271,900.40 : x
  2. Step 2: Convert to fraction form
    428,975.60/643,463.40 = 271,900.40/x
  3. Step 3: Cross multiply
    428,975.60x = 643,463.40 × 271,900.40
  4. Step 4: Simplify right side
    428,975.60x = 174,957,955,845.36
  5. Step 5: Solve for x
    x = 174,957,955,845.36/428,975.60
  6. Step 6: Final answer
    x = 407,850.60

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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.