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Finding the Fourth Proportional to 457,153.80, 685,134.57 and 254,741.43

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Solution

The fourth proportional to 457,153.80, 685,134.57 and 254,741.43 is: 381,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,153.80 : 685,134.57 = 254,741.43 : x
  2. Step 2: Convert to fraction form
    457,153.80/685,134.57 = 254,741.43/x
  3. Step 3: Cross multiply
    457,153.80x = 685,134.57 × 254,741.43
  4. Step 4: Simplify right side
    457,153.80x = 174,532,160,104.24
  5. Step 5: Solve for x
    x = 174,532,160,104.24/457,153.80
  6. Step 6: Final answer
    x = 381,779.96

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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.