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Finding the Fourth Proportional to 457,513.89, 685,596.39 and 254,830.83

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Solution

The fourth proportional to 457,513.89, 685,596.39 and 254,830.83 is: 381,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,513.89 : 685,596.39 = 254,830.83 : x
  2. Step 2: Convert to fraction form
    457,513.89/685,596.39 = 254,830.83/x
  3. Step 3: Cross multiply
    457,513.89x = 685,596.39 × 254,830.83
  4. Step 4: Simplify right side
    457,513.89x = 174,711,097,108.70
  5. Step 5: Solve for x
    x = 174,711,097,108.70/457,513.89
  6. Step 6: Final answer
    x = 381,870.59

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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.