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Finding the Fourth Proportional to 428,857.94, 643,241.66 and 176,165.08

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Solution

The fourth proportional to 428,857.94, 643,241.66 and 176,165.08 is: 264,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,857.94 : 643,241.66 = 176,165.08 : x
  2. Step 2: Convert to fraction form
    428,857.94/643,241.66 = 176,165.08/x
  3. Step 3: Cross multiply
    428,857.94x = 643,241.66 × 176,165.08
  4. Step 4: Simplify right side
    428,857.94x = 113,316,716,004.30
  5. Step 5: Solve for x
    x = 113,316,716,004.30/428,857.94
  6. Step 6: Final answer
    x = 264,229.02

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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.