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Finding the Fourth Proportional to 587,473.50, 810,718.38 and 319,201.50

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Solution

The fourth proportional to 587,473.50, 810,718.38 and 319,201.50 is: 440,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,473.50 : 810,718.38 = 319,201.50 : x
  2. Step 2: Convert to fraction form
    587,473.50/810,718.38 = 319,201.50/x
  3. Step 3: Cross multiply
    587,473.50x = 810,718.38 × 319,201.50
  4. Step 4: Simplify right side
    587,473.50x = 258,782,522,973.57
  5. Step 5: Solve for x
    x = 258,782,522,973.57/587,473.50
  6. Step 6: Final answer
    x = 440,500.76

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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.