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Finding the Fourth Proportional to 587,488, 810,735.68 and 319,216

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Solution

The fourth proportional to 587,488, 810,735.68 and 319,216 is: 440,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,488 : 810,735.68 = 319,216 : x
  2. Step 2: Convert to fraction form
    587,488/810,735.68 = 319,216/x
  3. Step 3: Cross multiply
    587,488x = 810,735.68 × 319,216
  4. Step 4: Simplify right side
    587,488x = 258,799,800,826.88
  5. Step 5: Solve for x
    x = 258,799,800,826.88/587,488
  6. Step 6: Final answer
    x = 440,519.30

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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.