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Finding the Fourth Proportional to 428,805, 643,235.04 and 113,253.84

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Solution

The fourth proportional to 428,805, 643,235.04 and 113,253.84 is: 169,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,805 : 643,235.04 = 113,253.84 : x
  2. Step 2: Convert to fraction form
    428,805/643,235.04 = 113,253.84/x
  3. Step 3: Cross multiply
    428,805x = 643,235.04 × 113,253.84
  4. Step 4: Simplify right side
    428,805x = 72,848,838,302.55
  5. Step 5: Solve for x
    x = 72,848,838,302.55/428,805
  6. Step 6: Final answer
    x = 169,888.03

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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.