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Finding the Fourth Proportional to 513,231.30, 708,230.52 and 283,775.31

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Solution

The fourth proportional to 513,231.30, 708,230.52 and 283,775.31 is: 391,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,231.30 : 708,230.52 = 283,775.31 : x
  2. Step 2: Convert to fraction form
    513,231.30/708,230.52 = 283,775.31/x
  3. Step 3: Cross multiply
    513,231.30x = 708,230.52 × 283,775.31
  4. Step 4: Simplify right side
    513,231.30x = 200,978,335,364.46
  5. Step 5: Solve for x
    x = 200,978,335,364.46/513,231.30
  6. Step 6: Final answer
    x = 391,594.07

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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.