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Finding the Fourth Proportional to 513,209.82, 708,216.96 and 283,761.06

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Solution

The fourth proportional to 513,209.82, 708,216.96 and 283,761.06 is: 391,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,209.82 : 708,216.96 = 283,761.06 : x
  2. Step 2: Convert to fraction form
    513,209.82/708,216.96 = 283,761.06/x
  3. Step 3: Cross multiply
    513,209.82x = 708,216.96 × 283,761.06
  4. Step 4: Simplify right side
    513,209.82x = 200,964,395,279.58
  5. Step 5: Solve for x
    x = 200,964,395,279.58/513,209.82
  6. Step 6: Final answer
    x = 391,583.30

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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.