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Finding the Fourth Proportional to 457,109.55, 685,656.90 and 153,524.79

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Solution

The fourth proportional to 457,109.55, 685,656.90 and 153,524.79 is: 230,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,109.55 : 685,656.90 = 153,524.79 : x
  2. Step 2: Convert to fraction form
    457,109.55/685,656.90 = 153,524.79/x
  3. Step 3: Cross multiply
    457,109.55x = 685,656.90 × 153,524.79
  4. Step 4: Simplify right side
    457,109.55x = 105,265,331,584.55
  5. Step 5: Solve for x
    x = 105,265,331,584.55/457,109.55
  6. Step 6: Final answer
    x = 230,284.69

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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.