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Finding the Fourth Proportional to 428,994.66, 643,109.60 and 162,942.00

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Solution

The fourth proportional to 428,994.66, 643,109.60 and 162,942.00 is: 244,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,994.66 : 643,109.60 = 162,942.00 : x
  2. Step 2: Convert to fraction form
    428,994.66/643,109.60 = 162,942.00/x
  3. Step 3: Cross multiply
    428,994.66x = 643,109.60 × 162,942.00
  4. Step 4: Simplify right side
    428,994.66x = 104,789,567,406.86
  5. Step 5: Solve for x
    x = 104,789,567,406.86/428,994.66
  6. Step 6: Final answer
    x = 244,267.77

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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.