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Finding the Fourth Proportional to 428,072.80, 641,648.40 and 161,730.40

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Solution

The fourth proportional to 428,072.80, 641,648.40 and 161,730.40 is: 242,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,072.80 : 641,648.40 = 161,730.40 : x
  2. Step 2: Convert to fraction form
    428,072.80/641,648.40 = 161,730.40/x
  3. Step 3: Cross multiply
    428,072.80x = 641,648.40 × 161,730.40
  4. Step 4: Simplify right side
    428,072.80x = 103,774,052,391.36
  5. Step 5: Solve for x
    x = 103,774,052,391.36/428,072.80
  6. Step 6: Final answer
    x = 242,421.50

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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.