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Finding the Fourth Proportional to 521,964, 720,311.04 and 283,500

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Solution

The fourth proportional to 521,964, 720,311.04 and 283,500 is: 391,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,964 : 720,311.04 = 283,500 : x
  2. Step 2: Convert to fraction form
    521,964/720,311.04 = 283,500/x
  3. Step 3: Cross multiply
    521,964x = 720,311.04 × 283,500
  4. Step 4: Simplify right side
    521,964x = 204,208,179,840
  5. Step 5: Solve for x
    x = 204,208,179,840/521,964
  6. Step 6: Final answer
    x = 391,230.39

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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.