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Finding the Fourth Proportional to 428,548.44, 642,834.80 and 162,259.32

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Solution

The fourth proportional to 428,548.44, 642,834.80 and 162,259.32 is: 243,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,548.44 : 642,834.80 = 162,259.32 : x
  2. Step 2: Convert to fraction form
    428,548.44/642,834.80 = 162,259.32/x
  3. Step 3: Cross multiply
    428,548.44x = 642,834.80 × 162,259.32
  4. Step 4: Simplify right side
    428,548.44x = 104,305,937,520.34
  5. Step 5: Solve for x
    x = 104,305,937,520.34/428,548.44
  6. Step 6: Final answer
    x = 243,393.58

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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.