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Finding the Fourth Proportional to 512,992.47, 708,383.54 and 319,730.02

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Solution

The fourth proportional to 512,992.47, 708,383.54 and 319,730.02 is: 441,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,992.47 : 708,383.54 = 319,730.02 : x
  2. Step 2: Convert to fraction form
    512,992.47/708,383.54 = 319,730.02/x
  3. Step 3: Cross multiply
    512,992.47x = 708,383.54 × 319,730.02
  4. Step 4: Simplify right side
    512,992.47x = 226,491,482,440.24
  5. Step 5: Solve for x
    x = 226,491,482,440.24/512,992.47
  6. Step 6: Final answer
    x = 441,510.34

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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.