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Finding the Fourth Proportional to 428,971.80, 643,457.70 and 113,460.60

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Solution

The fourth proportional to 428,971.80, 643,457.70 and 113,460.60 is: 170,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,971.80 : 643,457.70 = 113,460.60 : x
  2. Step 2: Convert to fraction form
    428,971.80/643,457.70 = 113,460.60/x
  3. Step 3: Cross multiply
    428,971.80x = 643,457.70 × 113,460.60
  4. Step 4: Simplify right side
    428,971.80x = 73,007,096,716.62
  5. Step 5: Solve for x
    x = 73,007,096,716.62/428,971.80
  6. Step 6: Final answer
    x = 170,190.90

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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.