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Finding the Fourth Proportional to 516,963.28, 713,362.26 and 299,134.30

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Solution

The fourth proportional to 516,963.28, 713,362.26 and 299,134.30 is: 412,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,963.28 : 713,362.26 = 299,134.30 : x
  2. Step 2: Convert to fraction form
    516,963.28/713,362.26 = 299,134.30/x
  3. Step 3: Cross multiply
    516,963.28x = 713,362.26 × 299,134.30
  4. Step 4: Simplify right side
    516,963.28x = 213,391,120,291.52
  5. Step 5: Solve for x
    x = 213,391,120,291.52/516,963.28
  6. Step 6: Final answer
    x = 412,778.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.