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Finding the Fourth Proportional to 512,952, 707,873.76 and 286,618.56

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Solution

The fourth proportional to 512,952, 707,873.76 and 286,618.56 is: 395,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,952 : 707,873.76 = 286,618.56 : x
  2. Step 2: Convert to fraction form
    512,952/707,873.76 = 286,618.56/x
  3. Step 3: Cross multiply
    512,952x = 707,873.76 × 286,618.56
  4. Step 4: Simplify right side
    512,952x = 202,889,757,752.99
  5. Step 5: Solve for x
    x = 202,889,757,752.99/512,952
  6. Step 6: Final answer
    x = 395,533.61

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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.