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Finding the Fourth Proportional to 513,209.91, 708,179.74 and 283,735.77

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Solution

The fourth proportional to 513,209.91, 708,179.74 and 283,735.77 is: 391,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,209.91 : 708,179.74 = 283,735.77 : x
  2. Step 2: Convert to fraction form
    513,209.91/708,179.74 = 283,735.77/x
  3. Step 3: Cross multiply
    513,209.91x = 708,179.74 × 283,735.77
  4. Step 4: Simplify right side
    513,209.91x = 200,935,924,888.41
  5. Step 5: Solve for x
    x = 200,935,924,888.41/513,209.91
  6. Step 6: Final answer
    x = 391,527.76

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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.