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Finding the Fourth Proportional to 428,558.88, 643,128.76 and 175,884.96

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Solution

The fourth proportional to 428,558.88, 643,128.76 and 175,884.96 is: 263,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,558.88 : 643,128.76 = 175,884.96 : x
  2. Step 2: Convert to fraction form
    428,558.88/643,128.76 = 175,884.96/x
  3. Step 3: Cross multiply
    428,558.88x = 643,128.76 × 175,884.96
  4. Step 4: Simplify right side
    428,558.88x = 113,116,676,227.45
  5. Step 5: Solve for x
    x = 113,116,676,227.45/428,558.88
  6. Step 6: Final answer
    x = 263,946.64

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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.