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Finding the Fourth Proportional to 428,892.57, 643,344.32 and 113,346.74

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Solution

The fourth proportional to 428,892.57, 643,344.32 and 113,346.74 is: 170,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,892.57 : 643,344.32 = 113,346.74 : x
  2. Step 2: Convert to fraction form
    428,892.57/643,344.32 = 113,346.74/x
  3. Step 3: Cross multiply
    428,892.57x = 643,344.32 × 113,346.74
  4. Step 4: Simplify right side
    428,892.57x = 72,920,983,261.24
  5. Step 5: Solve for x
    x = 72,920,983,261.24/428,892.57
  6. Step 6: Final answer
    x = 170,021.56

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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.