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Finding the Fourth Proportional to 512,661.28, 707,424 and 297,795.52

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Solution

The fourth proportional to 512,661.28, 707,424 and 297,795.52 is: 410,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,661.28 : 707,424 = 297,795.52 : x
  2. Step 2: Convert to fraction form
    512,661.28/707,424 = 297,795.52/x
  3. Step 3: Cross multiply
    512,661.28x = 707,424 × 297,795.52
  4. Step 4: Simplify right side
    512,661.28x = 210,667,697,940.48
  5. Step 5: Solve for x
    x = 210,667,697,940.48/512,661.28
  6. Step 6: Final answer
    x = 410,929.61

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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.