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Finding the Fourth Proportional to 513,813.54, 769,722.93 and 378,632.25

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Solution

The fourth proportional to 513,813.54, 769,722.93 and 378,632.25 is: 567,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,813.54 : 769,722.93 = 378,632.25 : x
  2. Step 2: Convert to fraction form
    513,813.54/769,722.93 = 378,632.25/x
  3. Step 3: Cross multiply
    513,813.54x = 769,722.93 × 378,632.25
  4. Step 4: Simplify right side
    513,813.54x = 291,441,924,862.49
  5. Step 5: Solve for x
    x = 291,441,924,862.49/513,813.54
  6. Step 6: Final answer
    x = 567,213.40

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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.