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Finding the Fourth Proportional to 457,142.96, 685,759.50 and 157,584.10

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Solution

The fourth proportional to 457,142.96, 685,759.50 and 157,584.10 is: 236,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,142.96 : 685,759.50 = 157,584.10 : x
  2. Step 2: Convert to fraction form
    457,142.96/685,759.50 = 157,584.10/x
  3. Step 3: Cross multiply
    457,142.96x = 685,759.50 × 157,584.10
  4. Step 4: Simplify right side
    457,142.96x = 108,064,793,623.95
  5. Step 5: Solve for x
    x = 108,064,793,623.95/457,142.96
  6. Step 6: Final answer
    x = 236,391.69

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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.