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Finding the Fourth Proportional to 428,907.66, 643,391.46 and 176,200.89

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Solution

The fourth proportional to 428,907.66, 643,391.46 and 176,200.89 is: 264,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,907.66 : 643,391.46 = 176,200.89 : x
  2. Step 2: Convert to fraction form
    428,907.66/643,391.46 = 176,200.89/x
  3. Step 3: Cross multiply
    428,907.66x = 643,391.46 × 176,200.89
  4. Step 4: Simplify right side
    428,907.66x = 113,366,147,870.40
  5. Step 5: Solve for x
    x = 113,366,147,870.40/428,907.66
  6. Step 6: Final answer
    x = 264,313.65

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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.