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Finding the Fourth Proportional to 513,108.56, 769,336.80 and 450,055.28

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Solution

The fourth proportional to 513,108.56, 769,336.80 and 450,055.28 is: 674,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,108.56 : 769,336.80 = 450,055.28 : x
  2. Step 2: Convert to fraction form
    513,108.56/769,336.80 = 450,055.28/x
  3. Step 3: Cross multiply
    513,108.56x = 769,336.80 × 450,055.28
  4. Step 4: Simplify right side
    513,108.56x = 346,244,085,091.62
  5. Step 5: Solve for x
    x = 346,244,085,091.62/513,108.56
  6. Step 6: Final answer
    x = 674,796.94

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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.