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Finding the Fourth Proportional to 512,775.53, 768,670.31 and 344,342.81

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Solution

The fourth proportional to 512,775.53, 768,670.31 and 344,342.81 is: 516,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,775.53 : 768,670.31 = 344,342.81 : x
  2. Step 2: Convert to fraction form
    512,775.53/768,670.31 = 344,342.81/x
  3. Step 3: Cross multiply
    512,775.53x = 768,670.31 × 344,342.81
  4. Step 4: Simplify right side
    512,775.53x = 264,686,095,354.58
  5. Step 5: Solve for x
    x = 264,686,095,354.58/512,775.53
  6. Step 6: Final answer
    x = 516,183.16

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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.